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Author ID: perlick.volker Recent zbMATH articles by "Perlick, Volker"
Published as: Perlick, Volker; Perlick, V.
Homepage: https://www.zarm.uni-bremen.de/en/research/space-science/gravitational-theory/te...
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Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 508 times in 367 Documents Cited by Year
Gravitational lensing from a spacetime perspective. Zbl 1071.83009
Perlick, Volker
76
2004
On Fermat’s principle in general relativity. I: The general case. Zbl 0707.53054
Perlick, Volker
42
1990
Ray optics, Fermat’s principle, and applications to general relativity. Zbl 0964.83002
Perlick, Volker
41
2000
Fermat principle in Finsler spacetimes. Zbl 1092.83002
Perlick, Volker
31
2006
Photon regions and shadows of accelerated black holes. Zbl 1339.83044
Grenzebach, Arne; Perlick, Volker; Lämmerzahl, Claus
29
2015
Calculating black hole shadows: review of analytical studies. Zbl 1486.85026
Perlick, Volker; Tsupko, Oleg Yu.
27
2022
Characterization of standard clocks by means of light rays and freely falling particles. Zbl 0635.53056
Perlick, Volker
20
1987
On Fermat’s principle in general relativity. II: The conformally stationary case. Zbl 0707.53055
Perlick, Volker
20
1990
Bertrand spacetimes. Zbl 0755.53057
Perlick, Volker
20
1992
Infinite dimensional Morse theory and Fermat’s principle in general relativity. I. Zbl 0854.58014
Perlick, Volker
16
1995
Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession. Zbl 0708.53050
Rindler, W.; Perlick, V.
14
1990
The Hamiltonization problem from a global viewpoint. Zbl 0751.58009
Perlick, Volker
14
1992
Observer field in Weylian spacetime models. Zbl 0742.53041
Perlick, Volker
13
1991
A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole. Zbl 1111.83031
Hasse, Wolfgang; Perlick, Volker
12
2006
Caustics of wavefronts in general relativity. Zbl 0855.53040
Hasse, Wolfgang; Kriele, Marcus; Perlick, Volker
12
1996
On totally umbilic submanifolds of semi-Riemannian manifolds. Zbl 1159.53342
Perlick, Volker
12
2005
On the self-force in Bopp-Podolsky electrodynamics. Zbl 1333.78006
Gratus, Jonathan; Perlick, Volker; Tucker, Robin W.
11
2015
Finsler geometry as a model for relativistic gravity. Zbl 1408.83040
Lämmerzahl, Claus; Perlick, Volker
11
2018
Gravitational lensing in spherically symmetric static spacetimes with centrifugal force reversal. Zbl 0996.83013
Hasse, Wolfgang; Perlick, Volker
8
2002
The brachistochrone problem in a stationary space-time. Zbl 0771.49018
Perlick, V.
8
1991
Circular motion in NUT space-time. Zbl 1354.83013
Jefremov, Paul I.; Perlick, Volker
8
2016
Geometrical and kinematical characterization of parallax-free world models. Zbl 0655.53068
Hasse, W.; Perlick, V.
7
1988
Inertial forces and photon surfaces in arbitrary spacetimes. Zbl 1050.83009
Foertsch, Thomas; Hasse, Wolfgang; Perlick, Volker
7
2003
On the generalized Jacobi equation. Zbl 1140.83327
Perlick, Volker
6
2008
A general-relativistic Fermat principle for extended light sources and extended receivers. Zbl 0938.58014
Perlick, Volker; Piccione, Paolo
5
1998
On the hyperbolicity of Maxwell’s equations with a local constitutive law. Zbl 1316.78001
Perlick, Volker
4
2011
On spacetime models with an isotropic Hubble law. Zbl 0946.83069
Hasse, Wolfgang; Perlick, Volker
3
1999
Sachs equations for light bundles in a cold plasma. Zbl 1380.83035
Schulze-Koops, Karen; Perlick, Volker; Schwarz, Dominik J.
3
2017
Global properties of gravitational lens maps in a Lorentzian manifold setting. Zbl 0995.58008
Perlick, Volker
3
2001
Lightlike geodesics and gravitational lensing in the spacetime of an accelerating black hole. Zbl 1481.83062
Frost, Torben C.; Perlick, Volker
3
2021
Criteria for multiple imaging in Lorentzian manifolds. Zbl 0852.53048
Perlick, Volker
2
1996
Analytical and numerical approaches to mathematical relativity. Papers based on the presentation at the 319th WE-Heraeus seminar ‘Mathematical relativity: new ideas and developments’, Bad Honnef, Germany, March 1–5, 2004. With a foreword by Roger Penrose. Zbl 1085.83002
2
2006
On causality in nonlinear vacuum electrodynamics of the Plebański class. Zbl 1362.78001
Schellstede, Gerold O.; Perlick, Volker; Lämmerzahl, Claus
2
2016
The shadow of a collapsing dark star. Zbl 1392.83056
Schneider, Stefanie; Perlick, Volker
2
2018
Corrigendum: Circular motion in NUT space-time [Class. Quantum Grav. 33 245014 (2016)]. Zbl 1409.83024
Jefremov, Paul I.; Perlick, Volker
2
2018
Time minimizing trajectories in Lorentzian geometry. Zbl 0984.53026
Giannoni, F.; Perlick, V.; Piccione, P.; Verderesi, J. A.
1
1999
Gravitational lensing from a geometric viewpoint. Zbl 1004.83038
Perlick, Volker
1
2000
Classification of image distortions in terms of Petrov types. Zbl 1056.83009
Chrobok, Thoralf; Perlick, Volker
1
2001
A variational principle for light rays in a general-relativistic plasma. Zbl 1042.58505
Perlick, Volker
1
2001
Application of Morse theory to gravitational lensing. Zbl 1161.83318
Perlick, V.
1
1999
Fermat’s principle, Morse theory and applications to the gravitational lens effect. Zbl 0889.53063
Perlick, Volker
1
1997
On redshift and parallaxes in general relativistic kinematical world models. Zbl 0713.53045
Perlick, V.
1
1990
Gravitational Faraday effect in conformally stationary spacetimes. Zbl 0777.53070
Perlick, V.; Hasse, W.
1
1993
On the self-force in electrodynamics and implications for gravity. Zbl 1338.83010
Perlick, Volker
1
2015
Schwarzschild radial perturbations in Eddington-Finkelstein and Painlevé-Gullstrand coordinates. Zbl 1339.83051
Philipp, Dennis; Perlick, Volker
1
2015
Geometrically thick tori around compact objects with a quadrupole moment. Zbl 1481.83051
Memmen, Jan-Menno; Perlick, Volker
1
2021
Application of the Gauss-Bonnet theorem to lensing in the NUT metric. Zbl 1466.83012
Halla, Mourad; Perlick, Volker
1
2020
Calculating black hole shadows: review of analytical studies. Zbl 1486.85026
Perlick, Volker; Tsupko, Oleg Yu.
27
2022
Lightlike geodesics and gravitational lensing in the spacetime of an accelerating black hole. Zbl 1481.83062
Frost, Torben C.; Perlick, Volker
3
2021
Geometrically thick tori around compact objects with a quadrupole moment. Zbl 1481.83051
Memmen, Jan-Menno; Perlick, Volker
1
2021
Application of the Gauss-Bonnet theorem to lensing in the NUT metric. Zbl 1466.83012
Halla, Mourad; Perlick, Volker
1
2020
Finsler geometry as a model for relativistic gravity. Zbl 1408.83040
Lämmerzahl, Claus; Perlick, Volker
11
2018
The shadow of a collapsing dark star. Zbl 1392.83056
Schneider, Stefanie; Perlick, Volker
2
2018
Corrigendum: Circular motion in NUT space-time [Class. Quantum Grav. 33 245014 (2016)]. Zbl 1409.83024
Jefremov, Paul I.; Perlick, Volker
2
2018
Sachs equations for light bundles in a cold plasma. Zbl 1380.83035
Schulze-Koops, Karen; Perlick, Volker; Schwarz, Dominik J.
3
2017
Circular motion in NUT space-time. Zbl 1354.83013
Jefremov, Paul I.; Perlick, Volker
8
2016
On causality in nonlinear vacuum electrodynamics of the Plebański class. Zbl 1362.78001
Schellstede, Gerold O.; Perlick, Volker; Lämmerzahl, Claus
2
2016
Photon regions and shadows of accelerated black holes. Zbl 1339.83044
Grenzebach, Arne; Perlick, Volker; Lämmerzahl, Claus
29
2015
On the self-force in Bopp-Podolsky electrodynamics. Zbl 1333.78006
Gratus, Jonathan; Perlick, Volker; Tucker, Robin W.
11
2015
On the self-force in electrodynamics and implications for gravity. Zbl 1338.83010
Perlick, Volker
1
2015
Schwarzschild radial perturbations in Eddington-Finkelstein and Painlevé-Gullstrand coordinates. Zbl 1339.83051
Philipp, Dennis; Perlick, Volker
1
2015
On the hyperbolicity of Maxwell’s equations with a local constitutive law. Zbl 1316.78001
Perlick, Volker
4
2011
On the generalized Jacobi equation. Zbl 1140.83327
Perlick, Volker
6
2008
Fermat principle in Finsler spacetimes. Zbl 1092.83002
Perlick, Volker
31
2006
A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole. Zbl 1111.83031
Hasse, Wolfgang; Perlick, Volker
12
2006
Analytical and numerical approaches to mathematical relativity. Papers based on the presentation at the 319th WE-Heraeus seminar ‘Mathematical relativity: new ideas and developments’, Bad Honnef, Germany, March 1–5, 2004. With a foreword by Roger Penrose. Zbl 1085.83002
2
2006
On totally umbilic submanifolds of semi-Riemannian manifolds. Zbl 1159.53342
Perlick, Volker
12
2005
Gravitational lensing from a spacetime perspective. Zbl 1071.83009
Perlick, Volker
76
2004
Inertial forces and photon surfaces in arbitrary spacetimes. Zbl 1050.83009
Foertsch, Thomas; Hasse, Wolfgang; Perlick, Volker
7
2003
Gravitational lensing in spherically symmetric static spacetimes with centrifugal force reversal. Zbl 0996.83013
Hasse, Wolfgang; Perlick, Volker
8
2002
Global properties of gravitational lens maps in a Lorentzian manifold setting. Zbl 0995.58008
Perlick, Volker
3
2001
Classification of image distortions in terms of Petrov types. Zbl 1056.83009
Chrobok, Thoralf; Perlick, Volker
1
2001
A variational principle for light rays in a general-relativistic plasma. Zbl 1042.58505
Perlick, Volker
1
2001
Ray optics, Fermat’s principle, and applications to general relativity. Zbl 0964.83002
Perlick, Volker
41
2000
Gravitational lensing from a geometric viewpoint. Zbl 1004.83038
Perlick, Volker
1
2000
On spacetime models with an isotropic Hubble law. Zbl 0946.83069
Hasse, Wolfgang; Perlick, Volker
3
1999
Time minimizing trajectories in Lorentzian geometry. Zbl 0984.53026
Giannoni, F.; Perlick, V.; Piccione, P.; Verderesi, J. A.
1
1999
Application of Morse theory to gravitational lensing. Zbl 1161.83318
Perlick, V.
1
1999
A general-relativistic Fermat principle for extended light sources and extended receivers. Zbl 0938.58014
Perlick, Volker; Piccione, Paolo
5
1998
Fermat’s principle, Morse theory and applications to the gravitational lens effect. Zbl 0889.53063
Perlick, Volker
1
1997
Caustics of wavefronts in general relativity. Zbl 0855.53040
Hasse, Wolfgang; Kriele, Marcus; Perlick, Volker
12
1996
Criteria for multiple imaging in Lorentzian manifolds. Zbl 0852.53048
Perlick, Volker
2
1996
Infinite dimensional Morse theory and Fermat’s principle in general relativity. I. Zbl 0854.58014
Perlick, Volker
16
1995
Gravitational Faraday effect in conformally stationary spacetimes. Zbl 0777.53070
Perlick, V.; Hasse, W.
1
1993
Bertrand spacetimes. Zbl 0755.53057
Perlick, Volker
20
1992
The Hamiltonization problem from a global viewpoint. Zbl 0751.58009
Perlick, Volker
14
1992
Observer field in Weylian spacetime models. Zbl 0742.53041
Perlick, Volker
13
1991
The brachistochrone problem in a stationary space-time. Zbl 0771.49018
Perlick, V.
8
1991
On Fermat’s principle in general relativity. I: The general case. Zbl 0707.53054
Perlick, Volker
42
1990
On Fermat’s principle in general relativity. II: The conformally stationary case. Zbl 0707.53055
Perlick, Volker
20
1990
Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession. Zbl 0708.53050
Rindler, W.; Perlick, V.
14
1990
On redshift and parallaxes in general relativistic kinematical world models. Zbl 0713.53045
Perlick, V.
1
1990
Geometrical and kinematical characterization of parallax-free world models. Zbl 0655.53068
Hasse, W.; Perlick, V.
7
1988
Characterization of standard clocks by means of light rays and freely falling particles. Zbl 0635.53056
Perlick, Volker
20
1987
all top 5

Cited by 533 Authors

23 Perlick, Volker
17 Giannoni, Fabio
15 Piccione, Paolo
13 Masiello, Antonio
9 Caponio, Erasmo
9 Fatibene, Lorenzo
9 Javaloyes, Miguel Angel
7 Minguzzi, Ettore
7 Sánchez Caja, Miguel
6 Balakin, Alexander B.
5 Ferraris, Marco
5 Gratus, Jonathan
5 Herrera, Luis Alfredo
5 Vacaru, Sergiu Ion
5 Werner, Marcus C.
4 Belhaj, Adil
4 Benali, Mohammed
4 Durrer, Ruth
4 Francaviglia, Mauro
4 Germinario, Anna Valeria
4 Giambò, Roberto
4 Guha, Partha
4 Hernández-Bermejo, Benito
4 Lämmerzahl, Claus
4 Ovgun, Ali
4 Ragnisco, Orlando
4 Romero, Casildo A.
4 Santos, Nilton O.
4 Visser, Matt
4 Zayats, Alexei E.
3 Aazami, Amir Babak
3 Ali, Riasat
3 Avalos, Rodrigo
3 Belmahi, H.
3 Cunha, Pedro V. P.
3 Das, Anish
3 Duggal, Krishan Lal
3 Gallego Torromé, Ricardo
3 Gangopadhyay, Sunandan
3 Garruto, Simon
3 Herdeiro, Carlos A. R.
3 Herranz, Francisco José
3 Jia, Junji
3 Korzyński, Mikołaj
3 Kudryavtseva, Elena A.
3 Mann, Robert B.
3 Maraner, Paolo
3 Pantig, Reggie C.
3 Pfeifer, Christian
3 Pinto, Paolo
3 Siahaan, Haryanto M.
3 Takahashi, Masatomo
3 Torres del Castillo, Gerardo Francisco
3 Wei, Shao-Wen
2 Al Balushi, Abdulrahim
2 Antonacci, Flavia
2 Atamurotov, Farruh
2 Babar, Rimsha
2 Ballesteros, Angel
2 Bhattacharya, Kaushik
2 Bini, Donato
2 Capozziello, Salvatore
2 Cederbaum, Carla
2 Chanda, Sumanto
2 Chang, Zhe
2 Cusin, Giulia
2 Dahia, Fábio
2 de Felice, Fernando
2 Demir, Durmus Ali
2 Dey, Dipanjan
2 Ellis, George Francis Rayner
2 Enciso, Alberto
2 Engelhardt, Netta
2 Fedoseev, Denis Aleksandrovich
2 Francfort, Jérémie
2 Frittelli, Simonetta
2 Fuster, Andrea
2 Geralico, Andrea
2 Gibbons, Gary William
2 Giulini, Domenico J. W.
2 Godani, Nisha
2 Gubbiotti, Giorgio
2 Hasse, Wolfgang
2 He, Xiaoling
2 Heefer, Sjors
2 Herrera, Jónatan
2 Hohmann, Manuel
2 Izumiya, Shyuichi
2 Jahns, Sophia
2 Karamat, Anosha
2 Kiessling, Michael Karl-Heinz
2 Kinsler, Paul
2 Kling, Thomas P.
2 Kuang, Xiao-Mei
2 Lazar, Markus
2 Lemos, José P. S.
2 Liu, Yuxiao
2 McCall, Martin W.
2 Natário, José
2 Nayak, K. Rajesh
...and 433 more Authors
all top 5

Cited in 73 Serials

64 Classical and Quantum Gravity
64 General Relativity and Gravitation
42 Journal of Mathematical Physics
26 Journal of Cosmology and Astroparticle Physics
21 International Journal of Geometric Methods in Modern Physics
9 Physics Letters. B
9 Annals of Physics
7 Journal of Geometry and Physics
7 Foundations of Physics
6 Communications in Mathematical Physics
6 International Journal of Theoretical Physics
6 Journal of High Energy Physics
5 International Journal of Modern Physics D
5 Gravitation & Cosmology
5 Nonlinear Analysis. Theory, Methods & Applications
4 International Journal of Modern Physics A
4 Annalen der Physik
3 Modern Physics Letters A
3 Physics Letters. A
3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Reports on Mathematical Physics
2 Wave Motion
2 Chaos, Solitons and Fractals
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Journal of Mathematical Sciences (New York)
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Advances in High Energy Physics
2 Journal of Singularities
1 European Journal of Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Moscow University Mathematics Bulletin
1 Nuclear Physics. B
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Fortschritte der Physik
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Calculus of Variations and Partial Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Annalen der Physik. 8th Series
1 Erkenntnis
1 Regular and Chaotic Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 Living Reviews in Relativity
1 Annales Henri Poincaré
1 Advances in Geometry
1 Advanced Nonlinear Studies
1 Journal of Hyperbolic Differential Equations
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Nonlinear Science and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Analysis and Mathematical Physics
1 ISRN Geometry
1 International Scholarly Research Notices. Mathematical Physics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Cited in 38 Fields

278 Relativity and gravitational theory (83-XX)
161 Differential geometry (53-XX)
69 Quantum theory (81-XX)
57 Optics, electromagnetic theory (78-XX)
55 Mechanics of particles and systems (70-XX)
43 Global analysis, analysis on manifolds (58-XX)
36 Partial differential equations (35-XX)
33 Astronomy and astrophysics (85-XX)
26 Dynamical systems and ergodic theory (37-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Manifolds and cell complexes (57-XX)
6 Algebraic geometry (14-XX)
5 History and biography (01-XX)
5 Convex and discrete geometry (52-XX)
5 Fluid mechanics (76-XX)
5 Systems theory; control (93-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Mathematical logic and foundations (03-XX)
3 Special functions (33-XX)
3 Geometry (51-XX)
3 Probability theory and stochastic processes (60-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Operator theory (47-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Numerical analysis (65-XX)

Citations by Year

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