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Author ID: tod.paul Recent zbMATH articles by "Tod, Paul"
Published as: Tod, Paul; Tod, P.
Documents Indexed: 56 Publications since 1998
Co-Authors: 25 Co-Authors with 46 Joint Publications
501 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 527 times in 417 Documents Cited by Year
Spherically-symmetric solutions of the Schrödinger-Newton equations. Zbl 0936.83037
Moroz, Irene M.; Penrose, Roger; Tod, Paul
142
1998
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
64
1999
Einstein-Weyl geometry, the dKP equation and twistor theory. Zbl 0990.53052
Dunajski, Maciej; Mason, Lionel J.; Tod, Paul
43
2001
On non-existence of static vacuum black holes with degenerate components of the event horizon. Zbl 1087.83042
Chrusciel, Piotr T.; Reall, Harvey S.; Tod, Paul
25
2006
Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: beyond self-duality. Zbl 1301.81204
Dunajski, M.; Gutowski, J. B.; Sabra, W. A.; Tod, Paul
20
2011
Twistor geometry of a pair of second order ODEs. Zbl 1277.53044
Casey, Stephen; Dunajski, Maciej; Tod, Paul
20
2013
Paraconformal geometry of \(n\)th-order ODEs, and exotic holonomy in dimension four. Zbl 1096.53028
Dunajski, Maciej; Tod, Paul
19
2006
Four-dimensional metrics conformal to Kähler. Zbl 1188.53078
Dunajski, Maciej; Tod, Paul
18
2010
Linking, Legendrian linking and causality. Zbl 1047.83027
Natário, José; Tod, Paul
17
2004
The Ledger curvature conditions and D’Atri geometry. Zbl 0944.53025
Pedersen, Henrik; Tod, Paul
15
1999
Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: anti-self-dual solutions. Zbl 1207.83068
Dunajski, Maciej; Gutowski, Jan; Sabra, Wafic; Tod, Paul
14
2011
The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior. Zbl 1128.83010
Chruściel, Piotr T.; Tod, Paul
13
2007
On Israel-Wilson-Perjés black holes. Zbl 1102.83014
Chrusciel, Piotr T.; Reall, Harvey S.; Tod, Paul
12
2006
Einstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectors. Zbl 0997.53036
Dunajski, Maciej; Tod, Paul
10
2001
Einstein metrics, hypercomplex structures and the Toda field equation. Zbl 1031.53071
Calderbank, David M. J.; Tod, Paul
10
2001
Self-dual conformal gravity. Zbl 1295.53080
Dunajski, Maciej; Tod, Paul
7
2014
A positive Bondi-type mass in asymptotically de Sitter spacetimes. Zbl 1327.83102
Szabados, László B.; Tod, Paul
6
2015
Some examples of the behaviour of conformal geodesics. Zbl 1245.53042
Tod, Paul
6
2012
Einstein-Weyl spaces and dispersionless Kadomtsev-Petviashvili equation from Painlevé I and II. Zbl 0999.35083
Dunajski, Maciej; Tod, Paul
6
2002
On asymptotically flat solutions of Einstein’s equations periodic in time. II: Spacetimes with scalar-field sources. Zbl 1201.83018
Bičák, J.; Scholtz, M.; Tod, P.
6
2010
An extension theorem for conformal gauge singularities. Zbl 1304.53074
Lübbe, Christian; Tod, Paul
5
2009
Conditions for non-existence of static or stationary, Einstein-Maxwell, non-inheriting black-holes. Zbl 1157.83337
Tod, Paul
5
2007
The equations of conformal cyclic cosmology. Zbl 1317.83113
Tod, Paul
5
2015
Lanczos potentials and a definition of gravitational entropy for perturbed Friedman-Lemaitre-Robertson-Walker spacetimes. Zbl 1112.83061
Mena, Filipe C.; Tod, Paul
4
2007
Isotropic cosmological singularities in spatially homogeneous models with a cosmological constant. Zbl 1115.83023
Tod, Paul
4
2007
Gravitational collapse to toroidal and higher genus asymptotically AdS black holes. Zbl 1148.83011
Mena, Filipe C.; Natário, José; Tod, Paul
3
2008
On asymptotically flat solutions of Einstein’s equations periodic in time. I: Vacuum and electrovacuum solutions. Zbl 1187.83016
Bičák, J.; Scholtz, M.; Tod, P.
3
2010
Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures. Zbl 1373.53061
Dunajski, Maciej; Tod, Paul
3
2017
On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology. Zbl 1444.83005
Lee, Ho; Nungesser, Ernesto; Tod, Paul
3
2020
A note on static metrics. Zbl 1087.83005
Bartnik, Robert; Tod, Paul
2
2006
The massless Einstein-Boltzmann system with a conformal gauge singularity in an FLRW background. Zbl 1478.83255
Lee, Ho; Nungesser, Ernesto; Tod, Paul
2
2020
Conformal properties of an evaporating black hole model. Zbl 1162.83334
Lübbe, Christian; Tod, Paul
2
2009
An angular momentum bound at null infinity. Zbl 1202.83010
Chruściel, Piotr T.; Tod, Paul
2
2009
Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein-Maxwell solutions. Zbl 1128.83307
Tod, Paul
2
2007
Towards a classification of vacuum near-horizons geometries. Zbl 1382.83052
Chruściel, Piotr T.; Szybka, Sebastian J.; Tod, Paul
1
2018
Jumps, folds and singularities of Kodaira moduli spaces. Zbl 1402.32022
Dunajski, Maciej; Gundry, James; Tod, Paul
1
2018
An example of the geometry of a 5th-order ODE: the metric on the space of conics in \(\mathbb{CP}^2\). Zbl 07107554
Dunajski, Maciej; Tod, Paul
1
2019
Avoiding closed timelike curves with a collapsing rotating null dust shell. Zbl 1190.83075
Mena, Filipe C.; Natário, José; Tod, Paul
1
2008
A global conformal extension theorem for perfect fluid Bianchi space-times. Zbl 1156.83007
Lübbe, Christian; Tod, Paul
1
2008
On Mason’s rigidity theorem. Zbl 1228.83027
Chruściel, Piotr T.; Tod, Paul
1
2009
Formation of higher-dimensional topological black holes. Zbl 1208.83071
Mena, Filipe C.; Natário, José; Tod, Paul
1
2010
Penrose’s circles in the CMB and a test of inflation. Zbl 1255.85035
Tod, Paul
1
2012
Conformally isometric embeddings and Hawking temperature. Zbl 1478.53064
Dunajski, Maciej; Tod, Paul
1
2019
On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology. Zbl 1444.83005
Lee, Ho; Nungesser, Ernesto; Tod, Paul
3
2020
The massless Einstein-Boltzmann system with a conformal gauge singularity in an FLRW background. Zbl 1478.83255
Lee, Ho; Nungesser, Ernesto; Tod, Paul
2
2020
An example of the geometry of a 5th-order ODE: the metric on the space of conics in \(\mathbb{CP}^2\). Zbl 07107554
Dunajski, Maciej; Tod, Paul
1
2019
Conformally isometric embeddings and Hawking temperature. Zbl 1478.53064
Dunajski, Maciej; Tod, Paul
1
2019
Towards a classification of vacuum near-horizons geometries. Zbl 1382.83052
Chruściel, Piotr T.; Szybka, Sebastian J.; Tod, Paul
1
2018
Jumps, folds and singularities of Kodaira moduli spaces. Zbl 1402.32022
Dunajski, Maciej; Gundry, James; Tod, Paul
1
2018
Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures. Zbl 1373.53061
Dunajski, Maciej; Tod, Paul
3
2017
A positive Bondi-type mass in asymptotically de Sitter spacetimes. Zbl 1327.83102
Szabados, László B.; Tod, Paul
6
2015
The equations of conformal cyclic cosmology. Zbl 1317.83113
Tod, Paul
5
2015
Self-dual conformal gravity. Zbl 1295.53080
Dunajski, Maciej; Tod, Paul
7
2014
Twistor geometry of a pair of second order ODEs. Zbl 1277.53044
Casey, Stephen; Dunajski, Maciej; Tod, Paul
20
2013
Some examples of the behaviour of conformal geodesics. Zbl 1245.53042
Tod, Paul
6
2012
Penrose’s circles in the CMB and a test of inflation. Zbl 1255.85035
Tod, Paul
1
2012
Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: beyond self-duality. Zbl 1301.81204
Dunajski, M.; Gutowski, J. B.; Sabra, W. A.; Tod, Paul
20
2011
Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: anti-self-dual solutions. Zbl 1207.83068
Dunajski, Maciej; Gutowski, Jan; Sabra, Wafic; Tod, Paul
14
2011
Four-dimensional metrics conformal to Kähler. Zbl 1188.53078
Dunajski, Maciej; Tod, Paul
18
2010
On asymptotically flat solutions of Einstein’s equations periodic in time. II: Spacetimes with scalar-field sources. Zbl 1201.83018
Bičák, J.; Scholtz, M.; Tod, P.
6
2010
On asymptotically flat solutions of Einstein’s equations periodic in time. I: Vacuum and electrovacuum solutions. Zbl 1187.83016
Bičák, J.; Scholtz, M.; Tod, P.
3
2010
Formation of higher-dimensional topological black holes. Zbl 1208.83071
Mena, Filipe C.; Natário, José; Tod, Paul
1
2010
An extension theorem for conformal gauge singularities. Zbl 1304.53074
Lübbe, Christian; Tod, Paul
5
2009
Conformal properties of an evaporating black hole model. Zbl 1162.83334
Lübbe, Christian; Tod, Paul
2
2009
An angular momentum bound at null infinity. Zbl 1202.83010
Chruściel, Piotr T.; Tod, Paul
2
2009
On Mason’s rigidity theorem. Zbl 1228.83027
Chruściel, Piotr T.; Tod, Paul
1
2009
Gravitational collapse to toroidal and higher genus asymptotically AdS black holes. Zbl 1148.83011
Mena, Filipe C.; Natário, José; Tod, Paul
3
2008
Avoiding closed timelike curves with a collapsing rotating null dust shell. Zbl 1190.83075
Mena, Filipe C.; Natário, José; Tod, Paul
1
2008
A global conformal extension theorem for perfect fluid Bianchi space-times. Zbl 1156.83007
Lübbe, Christian; Tod, Paul
1
2008
The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior. Zbl 1128.83010
Chruściel, Piotr T.; Tod, Paul
13
2007
Conditions for non-existence of static or stationary, Einstein-Maxwell, non-inheriting black-holes. Zbl 1157.83337
Tod, Paul
5
2007
Lanczos potentials and a definition of gravitational entropy for perturbed Friedman-Lemaitre-Robertson-Walker spacetimes. Zbl 1112.83061
Mena, Filipe C.; Tod, Paul
4
2007
Isotropic cosmological singularities in spatially homogeneous models with a cosmological constant. Zbl 1115.83023
Tod, Paul
4
2007
Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein-Maxwell solutions. Zbl 1128.83307
Tod, Paul
2
2007
On non-existence of static vacuum black holes with degenerate components of the event horizon. Zbl 1087.83042
Chrusciel, Piotr T.; Reall, Harvey S.; Tod, Paul
25
2006
Paraconformal geometry of \(n\)th-order ODEs, and exotic holonomy in dimension four. Zbl 1096.53028
Dunajski, Maciej; Tod, Paul
19
2006
On Israel-Wilson-Perjés black holes. Zbl 1102.83014
Chrusciel, Piotr T.; Reall, Harvey S.; Tod, Paul
12
2006
A note on static metrics. Zbl 1087.83005
Bartnik, Robert; Tod, Paul
2
2006
Linking, Legendrian linking and causality. Zbl 1047.83027
Natário, José; Tod, Paul
17
2004
Einstein-Weyl spaces and dispersionless Kadomtsev-Petviashvili equation from Painlevé I and II. Zbl 0999.35083
Dunajski, Maciej; Tod, Paul
6
2002
Einstein-Weyl geometry, the dKP equation and twistor theory. Zbl 0990.53052
Dunajski, Maciej; Mason, Lionel J.; Tod, Paul
43
2001
Einstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectors. Zbl 0997.53036
Dunajski, Maciej; Tod, Paul
10
2001
Einstein metrics, hypercomplex structures and the Toda field equation. Zbl 1031.53071
Calderbank, David M. J.; Tod, Paul
10
2001
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
64
1999
The Ledger curvature conditions and D’Atri geometry. Zbl 0944.53025
Pedersen, Henrik; Tod, Paul
15
1999
Spherically-symmetric solutions of the Schrödinger-Newton equations. Zbl 0936.83037
Moroz, Irene M.; Penrose, Roger; Tod, Paul
142
1998
all top 5

Cited by 495 Authors

29 Dunajski, Maciej
20 Tod, Paul
13 Van Schaftingen, Jean
9 Kryński, Wojciech
9 Sabra, Wafic A.
8 Alves, Claudianor Oliveira
8 Yang, Minbo
7 Ferapontov, Evgeny Vladimirovich
7 Kruglikov, Boris S.
7 Lucietti, James
7 Moroz, Vitaly
7 Tang, Chun-Lei
7 Tang, Xianhua
7 Xia, Jiankang
6 Chen, Sitong
6 Cingolani, Silvia
6 Gutowski, Jan B.
6 Kunduri, Hari K.
6 Nurowski, Paweł
6 Sparks, James
6 Wang, Jun
5 Chruściel, Piotr Tadeusz
5 Khuri, Marcus A.
5 Martelli, Dario
4 Arias-Marco, Teresa
4 Chernov, Vladimir V.
4 García-Río, Eduardo
4 Ghergu, Marius
4 Lee, Ho
4 Lewandowski, Jerzy
4 Li, Guidong
4 Nemirovskiĭ, Stefan Yur’evich
4 Secchi, Simone
4 Tanaka, Kazunaga
4 Vázquez-Lorenzo, Ramón
4 Wang, Tao
4 Xiao, Lu
3 Calderbank, David M. J.
3 Calviño-Louzao, Esteban
3 Chudecki, Adam
3 Dobkowski-Ryłko, Denis
3 Gao, Fashun
3 Genolini, Pietro Benetti
3 Hammerl, Matthias
3 Jelonek, Włodzimierz
3 Klein, Christian
3 Klemm, Dietmar Silke
3 Lübbe, Christian
3 Luo, Huxiao
3 Mason, Lionel J.
3 Mena, Filipe C.
3 Mettler, Thomas
3 Natário, José
3 Nozawa, Masato
3 Prykarpatsky, Yarema Anatoliyovych
3 Rădulescu, Vicenţiu D.
3 Šilhan, Josef
3 Taliaferro, Steven D.
3 Woolgar, Eric
2 Ahsan, Zafar
2 Alexakis, Spyros
2 Aretakis, Stefanos
2 Arora, Anudeep Kumar
2 Battaglia, Luca
2 Bejan, Cornelia-Livia
2 Bilal, Mohd
2 Blackmore, Denis L.
2 Calvaruso, Giovanni
2 Chen, Haibo
2 Chen, Peng
2 Clapp, Mónica
2 d’Avenia, Pietro
2 Davidov, Johann T.
2 Dong, Yangyang
2 Doubrov, Boris M.
2 Druetta, Maria J.
2 Eastwood, Michael G.
2 Gallo, Marco
2 Gao, Zu
2 Geng, Qiuping
2 Ghimenti, Marco G.
2 Ghosh, Gopal Chandra
2 Gilkey, Peter B.
2 Gover, Ashwin Rod
2 Gui, Changfeng
2 Guo, Hui
2 Guo, Lun
2 Guo, Qing
2 Gutiérrez-Rodríguez, Ixchel
2 Hitchin, Nigel James
2 Hu, Tingxi
2 Kaminski, Wojciech
2 Kinlaw, Paul A.
2 Kowalski, Oldřich
2 Liebling, Steven L.
2 Liu, Jiu
2 Liu, Senli
2 Liu, Xiaochun
2 Liu, Xiaonan
2 Ma, Shiwang
...and 395 more Authors
all top 5

Cited in 126 Serials

32 Journal of Geometry and Physics
27 Journal of Mathematical Physics
20 Classical and Quantum Gravity
20 General Relativity and Gravitation
17 Communications in Mathematical Physics
16 Journal of High Energy Physics
14 Journal of Mathematical Analysis and Applications
12 Calculus of Variations and Partial Differential Equations
11 Physics Letters. B
9 Annales Henri Poincaré
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Differential Equations
6 Letters in Mathematical Physics
6 Physica D
6 The Journal of Geometric Analysis
6 Topological Methods in Nonlinear Analysis
6 Living Reviews in Relativity
5 Annals of Global Analysis and Geometry
5 Differential Geometry and its Applications
5 Discrete and Continuous Dynamical Systems
5 Advanced Nonlinear Studies
5 Mediterranean Journal of Mathematics
5 Foundations of Physics
5 Advances in Nonlinear Analysis
4 Applicable Analysis
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Advances in Mathematics
4 Communications in Contemporary Mathematics
4 Communications on Pure and Applied Analysis
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Complex Variables and Elliptic Equations
3 Computers & Mathematics with Applications
3 Nonlinearity
3 Nuclear Physics. B
3 Journal of Functional Analysis
3 Mathematische Zeitschrift
3 Advances in Mathematical Physics
2 International Journal of Theoretical Physics
2 Annales Polonici Mathematici
2 Monatshefte für Mathematik
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Advances in Applied Clifford Algebras
2 Geometry & Topology
2 Journal of Nonlinear Mathematical Physics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Milan Journal of Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Kyungpook Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Topology and its Applications
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Forum Mathematicum
1 International Journal of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 The Journal of Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Opuscula Mathematica
1 Transformation Groups
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Differential Equations and Dynamical Systems
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
...and 26 more Serials
all top 5

Cited in 36 Fields

206 Partial differential equations (35-XX)
156 Differential geometry (53-XX)
132 Relativity and gravitational theory (83-XX)
42 Quantum theory (81-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Global analysis, analysis on manifolds (58-XX)
15 Ordinary differential equations (34-XX)
13 Manifolds and cell complexes (57-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Algebraic geometry (14-XX)
8 Optics, electromagnetic theory (78-XX)
7 Mechanics of particles and systems (70-XX)
6 Nonassociative rings and algebras (17-XX)
6 Numerical analysis (65-XX)
5 Integral equations (45-XX)
5 Astronomy and astrophysics (85-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Topological groups, Lie groups (22-XX)
3 Fluid mechanics (76-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Operator theory (47-XX)
2 Algebraic topology (55-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year