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Torres del Castillo, Gerardo Francisco

Author ID: torres-del-castillo.gerardo-francisco Recent zbMATH articles by "Torres del Castillo, Gerardo Francisco"
Published as: Torres del Castillo, G. F.; Torres del Castillo, Gerardo F.; Torres del Castillo, Gerardo Francisco; Torres del Castillo, Gerardo
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Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 234 times in 160 Documents Cited by Year
Null strings and Bianchi identities. Zbl 0513.53025
Torres del Castillo, G. F.
16
1983
The Teukolsky-Starobinsky identities in type \(D\) vacuum backgrounds with cosmological constant. Zbl 0709.53503
Torres del Castillo, G. F.
13
1988
Rarita-Schwinger fields in algebraically special vacuum space-times. Zbl 0662.53060
Torres del Castillo, G. F.
11
1989
The separability of Maxwell’s equations in type-D backgrounds. Zbl 0664.58053
Torres del Castillo, G. F.
11
1988
3-D spinors, spin-weighted functions and their applications. Zbl 1082.81004
Torres del Castillo, G. F.
11
2003
Killing spinors and massless spinor fields. Zbl 0569.53007
Torres del Castillo, G. F.
10
1985
Spinor formulation of the differential geometry of curves. Zbl 1098.53001
Torres del Castillo, Gerardo Francisco; Sánchez Barrales, Guadalupe
8
2004
Differentiable manifolds. A theoretical physics approach. Zbl 1237.58001
Torres del Castillo, Gerardo F.
8
2012
Eigenfunctions of the curl operator in spherical coordinates. Zbl 0799.35170
Torres del Castillo, G. F.
7
1994
Solution of the Dirac equation in the field of a magnetic monopole. Zbl 0879.35129
Torres del Castillo, G. F.; Cortés-Cuautli, L. C.
7
1997
Lanczos potential for some type \(D\) space-times. Zbl 0822.53060
Torres del Castillo, G. F.
7
1995
Debye potentials for Rarita-Schwinger fields in curved space-times. Zbl 0681.76119
Torres del Castillo, G. F.
6
1989
Spin-weighted spherical harmonics and their applications. Zbl 1326.83056
Torres del Castillo, G. F.
6
2007
Gravitational and electromagnetic perturbations of the Schwarzschild solution. Zbl 0864.53061
Torres del Castillo, G. F.
5
1996
Symplectic quantization, inequivalent quantum theories, and Heisenberg’s principle of uncertainty. Zbl 1227.81212
Montesinos, Merced; Torres del Castillo, G. F.
5
2004
The Hamiltonian description of a second-order ODE. Zbl 1331.37075
Torres del Castillo, Gerardo Francisco
5
2009
Perturbations of solutions of the Einstein equations with sources. Zbl 0639.53067
Torres del Castillo, G. F.
5
1988
Wavelike solutions to the Einstein equations coupled to neutrino and gauge fields. Zbl 0604.53033
Torres del Castillo, G. F.
5
1986
Generation of perturbations by means of decoupled equations and their adjoints. Zbl 0711.35138
Torres del Castillo, G. F.
5
1990
Riemannian structure of the thermodynamic phase space. Zbl 1291.80004
Torres del Castillo, G. F.; Montesinos Velasquez, M.
5
1993
Three-dimensional formulation of the Maxwell equations for stationary space-times. Zbl 0957.83016
Torres del Castillo, G. F.; Mercado-Pérez, J.
4
1999
Some simple type D solutions to the Einstein equations with sources. Zbl 0559.53053
Torres del Castillo, G. F.; Plebański, J. F.
4
1985
Gauge fields in algebraically special space-times. Zbl 0562.53058
Torres del Castillo, G. F.
4
1985
Differentiable manifolds. A theoretical physics approach. 2nd edition. Zbl 1437.58001
Torres del Castillo, Gerardo F.
4
2020
HH spaces with an algebraically degenerate right side. Zbl 0539.53020
Plebański, J. F.; Torres del Castillo, G. F.
4
1982
Gravitational perturbations of type-\(D\) vacuum space-times with cosmological constant. Zbl 0812.53066
Torres del Castillo, G. F.
3
1994
Exact solutions of the Einstein equations with sources from linearized solutions. Zbl 0863.58089
Torres del Castillo, G. F.
3
1996
Spin-3/2 perturbations of algebraically special solutions of the Einstein-Maxwell equations. Zbl 0675.53059
Torres del Castillo, G. F.
3
1989
Self-duality and gravitational perturbations. Zbl 0982.83018
Torres del Castillo, G. F.; Solís-Rodríguez, H. G.
3
1999
Debye potentials for self-dual fields. Zbl 0941.83024
Torres del Castillo, G. F.
3
1999
On perturbations of solutions of the Einstein-Maxwell equations. Zbl 0622.70014
Torres del Castillo, G. F.
3
1986
Spinors in four-dimensional spaces. Zbl 1206.53004
Torres del Castillo, Gerardo F.
3
2010
Perturbations of solutions of the Einstein-Maxwell equations with a null background electromagnetic field. Zbl 0863.58090
Torres del Castillo, G. F.
2
1996
Self-adjoint operators and conserved currents. Zbl 1010.83015
Torres del Castillo, G. F.; Flores-Urbina, J. C.
2
1999
Linear perturbations of gauge fields. Zbl 0607.53047
Torres del Castillo, G. F.
2
1986
An introduction to Hamiltonian mechanics. Zbl 1422.70001
Torres del Castillo, Gerardo F.
2
2018
A generating function for the spherical harmonics in \(p\) dimensions. Zbl 1326.35090
Torres del Castillo, G. F.
2
2013
A note on D(k,0) Killing spinors. Zbl 0534.53016
Torres del Castillo, Gerardo F.
2
1984
The solution of Dirac’s equation in algebraically special space-times. Zbl 0543.53028
Torres del Castillo, G. F.
2
1984
Symplectic structures and Hamiltonian functions corresponding to a system of ODEs. Zbl 1259.37033
Torres del Castillo, G. F.; Galindo-Linares, E.
2
2013
On the dynamical symmetry of the quantum Kepler problem. Zbl 1291.81175
Torres del Castillo, G. F.; Calvario Acócal, J. L.
2
1998
Spin-weighted cylindrical harmonics and the Euclidean group of the plane. Zbl 0791.51015
Torres del Castillo, G. F.
1
1993
Symmetries and integration of differential equations. Zbl 1130.34021
Torres del Castillo, Gerardo; Marciano Melchor, Magdalena
1
2005
Invariance of the massless field equations under changes of the metric. Zbl 0915.53039
Torres del Castillo, G. F.; Mondragón-Sánchez, J. A.
1
1998
Complex potentials for coupled gravitational and electromagnetic perturbations. Zbl 0645.53056
Torres del Castillo, G. F.
1
1987
Jacobi’s principle for magnetic interactions. Zbl 1007.78006
Torres del Castillo, G. F.
1
1999
Xanthopoulos theorem in the Kaluza-Klein theory. Zbl 0979.83041
Torres del Castillo, G. F.; Flores-Amado, A.
1
2000
Special functions and perturbations of black holes. Zbl 1097.83520
Kalnins, E. G.; Miller, W. jun.; Torres del Castillo, G. F.; Williams, G. C.
1
2000
Algebraic classification of the curvature of three-dimensional manifolds with indefinite metric. Zbl 1062.53040
Torres del Castillo, G. F.; Gómez-Ceballos, L. F.
1
2003
Spin-3/2 fields in flat space-time. Zbl 0849.53073
Torres del Castillo, G. F.; Herrera Morales, A.
1
1996
Variational symmetries as the existence of ignorable coordinates. Zbl 1390.70049
Torres del Castillo, G. F.; Rubalcava-García, I.
1
2017
Multipole expansion of electrostatic and magnetostatic fields. Zbl 1326.78008
Torres del Castillo, G. F.
1
2002
Hamiltonian structures for the acoustic field. Zbl 1326.76090
Torres del Castillo, G. F.; Galindo Linares, E.
1
2003
Symplectic structures and Hamiltonians of a mechanical system. Zbl 1326.70029
Torres del Castillo, G. F.; Mendoza Torres, G.
1
2003
Schrödinger-Pauli equation for spin-\(3/2\) particles. Zbl 1326.81096
Torres del Castillo, G. F.; Velázquez Castro, J.
1
2004
Uniformly accelerated observers in special relativity. Zbl 1326.83016
Torres del Castillo, G. F.; Pérez Sánchez, C. I.
1
2006
Coordinate systems adapted to constants of motion. Zbl 1326.70030
Torres del Castillo, G. F.
1
2013
Killing vectors in algebraically special space-times. Zbl 0548.53030
Torres del Castillo, G. F.
1
1984
Lanczos potential for algebraically special space-times. Zbl 1291.83067
Torres del Castillo, G. F.
1
1991
Hamiltonian structures for massless free fields. Zbl 1291.81220
Torres del Castillo, G. F.; Acosta Avalos, D.
1
1994
Differentiable manifolds. A theoretical physics approach. 2nd edition. Zbl 1437.58001
Torres del Castillo, Gerardo F.
4
2020
An introduction to Hamiltonian mechanics. Zbl 1422.70001
Torres del Castillo, Gerardo F.
2
2018
Variational symmetries as the existence of ignorable coordinates. Zbl 1390.70049
Torres del Castillo, G. F.; Rubalcava-García, I.
1
2017
A generating function for the spherical harmonics in \(p\) dimensions. Zbl 1326.35090
Torres del Castillo, G. F.
2
2013
Symplectic structures and Hamiltonian functions corresponding to a system of ODEs. Zbl 1259.37033
Torres del Castillo, G. F.; Galindo-Linares, E.
2
2013
Coordinate systems adapted to constants of motion. Zbl 1326.70030
Torres del Castillo, G. F.
1
2013
Differentiable manifolds. A theoretical physics approach. Zbl 1237.58001
Torres del Castillo, Gerardo F.
8
2012
Spinors in four-dimensional spaces. Zbl 1206.53004
Torres del Castillo, Gerardo F.
3
2010
The Hamiltonian description of a second-order ODE. Zbl 1331.37075
Torres del Castillo, Gerardo Francisco
5
2009
Spin-weighted spherical harmonics and their applications. Zbl 1326.83056
Torres del Castillo, G. F.
6
2007
Uniformly accelerated observers in special relativity. Zbl 1326.83016
Torres del Castillo, G. F.; Pérez Sánchez, C. I.
1
2006
Symmetries and integration of differential equations. Zbl 1130.34021
Torres del Castillo, Gerardo; Marciano Melchor, Magdalena
1
2005
Spinor formulation of the differential geometry of curves. Zbl 1098.53001
Torres del Castillo, Gerardo Francisco; Sánchez Barrales, Guadalupe
8
2004
Symplectic quantization, inequivalent quantum theories, and Heisenberg’s principle of uncertainty. Zbl 1227.81212
Montesinos, Merced; Torres del Castillo, G. F.
5
2004
Schrödinger-Pauli equation for spin-\(3/2\) particles. Zbl 1326.81096
Torres del Castillo, G. F.; Velázquez Castro, J.
1
2004
3-D spinors, spin-weighted functions and their applications. Zbl 1082.81004
Torres del Castillo, G. F.
11
2003
Algebraic classification of the curvature of three-dimensional manifolds with indefinite metric. Zbl 1062.53040
Torres del Castillo, G. F.; Gómez-Ceballos, L. F.
1
2003
Hamiltonian structures for the acoustic field. Zbl 1326.76090
Torres del Castillo, G. F.; Galindo Linares, E.
1
2003
Symplectic structures and Hamiltonians of a mechanical system. Zbl 1326.70029
Torres del Castillo, G. F.; Mendoza Torres, G.
1
2003
Multipole expansion of electrostatic and magnetostatic fields. Zbl 1326.78008
Torres del Castillo, G. F.
1
2002
Xanthopoulos theorem in the Kaluza-Klein theory. Zbl 0979.83041
Torres del Castillo, G. F.; Flores-Amado, A.
1
2000
Special functions and perturbations of black holes. Zbl 1097.83520
Kalnins, E. G.; Miller, W. jun.; Torres del Castillo, G. F.; Williams, G. C.
1
2000
Three-dimensional formulation of the Maxwell equations for stationary space-times. Zbl 0957.83016
Torres del Castillo, G. F.; Mercado-Pérez, J.
4
1999
Self-duality and gravitational perturbations. Zbl 0982.83018
Torres del Castillo, G. F.; Solís-Rodríguez, H. G.
3
1999
Debye potentials for self-dual fields. Zbl 0941.83024
Torres del Castillo, G. F.
3
1999
Self-adjoint operators and conserved currents. Zbl 1010.83015
Torres del Castillo, G. F.; Flores-Urbina, J. C.
2
1999
Jacobi’s principle for magnetic interactions. Zbl 1007.78006
Torres del Castillo, G. F.
1
1999
On the dynamical symmetry of the quantum Kepler problem. Zbl 1291.81175
Torres del Castillo, G. F.; Calvario Acócal, J. L.
2
1998
Invariance of the massless field equations under changes of the metric. Zbl 0915.53039
Torres del Castillo, G. F.; Mondragón-Sánchez, J. A.
1
1998
Solution of the Dirac equation in the field of a magnetic monopole. Zbl 0879.35129
Torres del Castillo, G. F.; Cortés-Cuautli, L. C.
7
1997
Gravitational and electromagnetic perturbations of the Schwarzschild solution. Zbl 0864.53061
Torres del Castillo, G. F.
5
1996
Exact solutions of the Einstein equations with sources from linearized solutions. Zbl 0863.58089
Torres del Castillo, G. F.
3
1996
Perturbations of solutions of the Einstein-Maxwell equations with a null background electromagnetic field. Zbl 0863.58090
Torres del Castillo, G. F.
2
1996
Spin-3/2 fields in flat space-time. Zbl 0849.53073
Torres del Castillo, G. F.; Herrera Morales, A.
1
1996
Lanczos potential for some type \(D\) space-times. Zbl 0822.53060
Torres del Castillo, G. F.
7
1995
Eigenfunctions of the curl operator in spherical coordinates. Zbl 0799.35170
Torres del Castillo, G. F.
7
1994
Gravitational perturbations of type-\(D\) vacuum space-times with cosmological constant. Zbl 0812.53066
Torres del Castillo, G. F.
3
1994
Hamiltonian structures for massless free fields. Zbl 1291.81220
Torres del Castillo, G. F.; Acosta Avalos, D.
1
1994
Riemannian structure of the thermodynamic phase space. Zbl 1291.80004
Torres del Castillo, G. F.; Montesinos Velasquez, M.
5
1993
Spin-weighted cylindrical harmonics and the Euclidean group of the plane. Zbl 0791.51015
Torres del Castillo, G. F.
1
1993
Lanczos potential for algebraically special space-times. Zbl 1291.83067
Torres del Castillo, G. F.
1
1991
Generation of perturbations by means of decoupled equations and their adjoints. Zbl 0711.35138
Torres del Castillo, G. F.
5
1990
Rarita-Schwinger fields in algebraically special vacuum space-times. Zbl 0662.53060
Torres del Castillo, G. F.
11
1989
Debye potentials for Rarita-Schwinger fields in curved space-times. Zbl 0681.76119
Torres del Castillo, G. F.
6
1989
Spin-3/2 perturbations of algebraically special solutions of the Einstein-Maxwell equations. Zbl 0675.53059
Torres del Castillo, G. F.
3
1989
The Teukolsky-Starobinsky identities in type \(D\) vacuum backgrounds with cosmological constant. Zbl 0709.53503
Torres del Castillo, G. F.
13
1988
The separability of Maxwell’s equations in type-D backgrounds. Zbl 0664.58053
Torres del Castillo, G. F.
11
1988
Perturbations of solutions of the Einstein equations with sources. Zbl 0639.53067
Torres del Castillo, G. F.
5
1988
Complex potentials for coupled gravitational and electromagnetic perturbations. Zbl 0645.53056
Torres del Castillo, G. F.
1
1987
Wavelike solutions to the Einstein equations coupled to neutrino and gauge fields. Zbl 0604.53033
Torres del Castillo, G. F.
5
1986
On perturbations of solutions of the Einstein-Maxwell equations. Zbl 0622.70014
Torres del Castillo, G. F.
3
1986
Linear perturbations of gauge fields. Zbl 0607.53047
Torres del Castillo, G. F.
2
1986
Killing spinors and massless spinor fields. Zbl 0569.53007
Torres del Castillo, G. F.
10
1985
Some simple type D solutions to the Einstein equations with sources. Zbl 0559.53053
Torres del Castillo, G. F.; Plebański, J. F.
4
1985
Gauge fields in algebraically special space-times. Zbl 0562.53058
Torres del Castillo, G. F.
4
1985
A note on D(k,0) Killing spinors. Zbl 0534.53016
Torres del Castillo, Gerardo F.
2
1984
The solution of Dirac’s equation in algebraically special space-times. Zbl 0543.53028
Torres del Castillo, G. F.
2
1984
Killing vectors in algebraically special space-times. Zbl 0548.53030
Torres del Castillo, G. F.
1
1984
Null strings and Bianchi identities. Zbl 0513.53025
Torres del Castillo, G. F.
16
1983
HH spaces with an algebraically degenerate right side. Zbl 0539.53020
Plebański, J. F.; Torres del Castillo, G. F.
4
1982
all top 5

Cited by 190 Authors

36 Torres del Castillo, Gerardo Francisco
6 Guha, Partha
5 Erişir, Tülay
5 Silva-Ortigoza, Gilberto
5 Tosun, Murat
4 Ghose Choudhury, Anindya
4 Montesinos, Merced
3 Ahsan, Zafar
3 Bilal, Mohd
3 Cartas-Fuentevilla, Roberto
3 Gungor, Mehmet Ali
3 Hickman, Mark S.
3 Kalnins, Ernest G.
3 McIntosh, Colin B. G.
3 Williams, George C.
2 Aksteiner, Steffen
2 Andersson, Fredrik K.
2 Araneda, Bernardo
2 Azuaje, R.
2 Bogoyavlenskij, Oleg Igorevich
2 Bravetti, Alessandro
2 Celada, Mariano
2 Chenaghlou, Alireza
2 Chudecki, Adam
2 Cortés-Cuautli, L. C.
2 Díaz, Bogar
2 Edgar, S. Brian
2 Esen, Oğul
2 Hassouni, S.
2 Iglewska-Nowak, Ilona
2 İşbilir, Zehra
2 Isidro San Juan, José-Maria
2 Miller, Willard jun.
2 Obukhov, Valery V.
2 Saidi, Hanane
2 Saygili, Kemal
2 Subag, Eyal M.
2 Zerarka, Abdelwahab
1 Abramowicz, Marek A.
1 Alkauskas, Giedrius
1 Andersson, Lars Åke
1 Antonelli, Gioacchino
1 Aoude, Rafael
1 Bäckdahl, Thomas
1 Bagrov, Vladislav G.
1 Batic, Davide
1 Bayrakdar, Tuna
1 Benn, I. M.
1 Bensalah, N.
1 Bergqvist, Göran
1 Boumedjane, Y.
1 Bouzas, Antonio O.
1 Brihaye, Yves
1 Brinis Udeschini, Elisa
1 Cacciapaglia, Giacomo
1 Carrillo-González, Mariana
1 Casals, Marc
1 Cedeño Montana, C. Eduardo
1 Chakrabarty, Somenath
1 Chanda, Sumanto
1 Charlton, Philip R.
1 Chen, Songai
1 Chen, Yi-Gu
1 Chiu, Hung-Lin
1 Cook, Samuel A.
1 Cuesta-Sánchez, V.
1 Dalhuisen, Jan Willem
1 Das, Sanchita
1 de Araujo, José Carlos N.
1 Deandrea, Aldo
1 Delgadillo-Blando, J. R.
1 Deutschmann, Nicolas
1 Emond, William T.
1 Escalante, Alberto
1 Fakhri, Hossein
1 Fernandez Piedra, Owen Pavel
1 Flanagan, Éanna É.
1 Flores-Amado, A.
1 Flores-Urbina, J. C.
1 Frolov, Valeri P.
1 Galindo-Linares, E.
1 García-Ariza, Miguel Ángel
1 García, Irving
1 Gibbons, Gary William
1 Gourieux, Thierry
1 Grant, Alexander M.
1 Gümral, Hasan
1 Güner, Mehmet
1 Hall, Graham S.
1 Haouam, Ilyas
1 Harriott, Tina A.
1 Hernández-Márquez, Maribel
1 Herrera Morales, A.
1 Higson, Nigel
1 Hillion, Pierre T. M.
1 Hosseini, Masoumeh
1 Hu, Yanxia
1 Hu, Yapeng
1 İsabeyoğlu, Zeynep
1 Iwai, Toshihiro
...and 90 more Authors
all top 5

Cited in 46 Serials

48 Journal of Mathematical Physics
20 General Relativity and Gravitation
9 Classical and Quantum Gravity
8 International Journal of Theoretical Physics
8 Journal of Geometry and Physics
8 International Journal of Geometric Methods in Modern Physics
4 Journal of Mathematical Analysis and Applications
4 Advances in Applied Clifford Algebras
4 Journal of High Energy Physics
3 Modern Physics Letters A
3 Reports on Mathematical Physics
2 International Journal of Modern Physics A
2 Applied Mathematics and Computation
2 Annals of Physics
2 International Journal of Modern Physics D
2 Annales Henri Poincaré
2 International Electronic Journal of Geometry
1 Astrophysics and Space Science
1 Communications in Mathematical Physics
1 European Journal of Physics
1 Houston Journal of Mathematics
1 Inverse Problems
1 Letters in Mathematical Physics
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Computational and Applied Mathematics
1 Journal of Geometry
1 Journal of Soviet Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Acta Applicandae Mathematicae
1 Turkish Journal of Mathematics
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Regular and Chaotic Dynamics
1 Russian Physics Journal
1 Living Reviews in Relativity
1 Gravitation & Cosmology
1 Journal of Dynamical Systems and Geometric Theories
1 Analysis and Applications (Singapore)
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Communications in Theoretical Physics
1 Advances in Mathematical Physics
1 AIMS Mathematics

Citations by Year