Publications (52)
Einstein--Weyl spaces and dispersionless Kadomtsev--Petviashvili equation from Painlevé I and II
Maciej Dunajski, Paul Tod
An extension theorem for conformal gauge singularities
Christian Lübbe, Paul Tod
Einstein metrics, hypercomplex structures and the Toda field equation
David M. J. Calderbank, Paul Tod
Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
Piotr T. Chrusciel, Daniel Maerten, Paul Tod
The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior
Piotr T. Chrusciel, Paul Tod
Jumps, folds, and singularities of Kodaira moduli spaces
Maciej Dunajski, James Gundry, Paul Tod
Some geometry of de Sitter space
Paul Tod
The equations of CCC
Paul Tod
A comment on positive mass for scalar field sources
Paul Tod
Paraconformal geometry of $n$th order ODEs, and exotic holonomy in dimension four
Maciej Dunajski, Paul Tod
Conformal Properties of an Evaporating Black Hole Model
Christian Lübbe, Paul Tod
On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources
JiÅà BiÄák, Martin Scholtz, Paul Tod
Lie point symmetries and the geodesic approximation for the Schrödinger-Newton equations
Oliver Robertshaw, Paul Tod
Gravitational Collapse to Toroidal and Higher Genus asymptotically AdS Black Holes
Filipe C. Mena, Jose Natario, Paul Tod
An angular momentum bound at null infinity
Piotr T. ChruÅciel, Paul Tod
Formation of Higher-dimensional Topological Black Holes
Filipe C. Mena, Jose Natario, Paul Tod
Penrose's circles in the CMB and a test of inflation
Paul Tod
Avoiding closed timelike curves with a collapsing rotating null dust shell
Filipe C. Mena, Jose Natario, Paul Tod
Some examples of the behaviour of conformal geodesics
Paul Tod
Matching of spatially homogeneous non-stationary space--times to vacuum in cylindrical symmetry
Paul Tod, Filipe C. Mena
Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein-Maxwell solutions
Paul Tod
On analytic asymptotically-flat vacuum and electrovac metrics, periodic in time
Paul Tod
On non-existence of static vacuum black holes with degenerate components of the event horizon
Piotr T. Chrusciel, Harvey S. Reall, Paul Tod
Einstein-Weyl structures from Hyper-Kähler metrics with conformal Killing vectors
Maciej Dunajski, Paul Tod
A global conformal extension theorem for perfect fluid Bianchi space-times
Christian Lübbe, Paul Tod
Self-Dual Conformal Gravity
Maciej Dunajski, Paul Tod
A review of total energy-momenta in GR with a positive cosmological constant
László B Szabados, Paul Tod
Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions
Maciej Dunajski, Jan Gutowski, Wafic Sabra +1
Penrose's quasi-local mass for asymptotically anti-de Sitter space-times
Ron Kelly, Paul Tod
Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant
Paul Tod
Twistor geometry of a pair of second order ODEs
Stephen Casey, Maciej Dunajski, Paul Tod
Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes
Paul Tod
Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures
Maciej Dunajski, Paul Tod
Twistor Construction of Higher-Dimensional Black Holes - Part II: Examples
Paul Tod, Norman Metzner, Lionel Mason
A Note on Riemannian Anti-self-dual Einstein metrics with Symmetry
Paul Tod
An example of the geometry of a 5th-order ODE: the metric on the space of conics in ${\mathbb{CP}}^2$
Maciej Dunajski, Paul Tod
A positive Bondi--type mass in asymptotically de Sitter spacetimes
László B Szabados, Paul Tod
On Mason's rigidity theorem
Piotr T. ChruÅciel, Paul Tod
Linking, Legendrian linking and causality
Jose Natario, Paul Tod
Valiente Kroon's obstructions to smoothness at infinity
James Grant, Paul Tod
Towards a classification of vacuum near-horizons geometries
Piotr T. ChruÅciel, Sebastian J. Szybka, Paul Tod
Einstein-Weyl geometry, the dKP equation and twistor theory
Maciej Dunajski, Lionel J. Mason, Paul Tod
Four--Dimensional Metrics Conformal to Kahler
Maciej Dunajski, Paul Tod
A note on static metrics
Robert Bartnik, Paul Tod
Asymptotically $AdS_2\times S^2$ metrics satisfying the Null Energy Condition
Paul Tod
On asymptotically flat solutions of Einstein's equations periodic in time I. Vacuum and electrovacuum solutions
Jiri Bicak, Martin Scholtz, Paul Tod
The Stützfunktion and the Cut Function
Paul Tod
Asymptotically flat Einstein-Maxwell fields are inheriting
Piotr T. Chrusciel, Luc Nguyen, Paul Tod +1
Lanczos potentials and a definition of gravitational entropy for perturbed FLRW space-times
Filipe C. Mena, Paul Tod
The problem of characterising stationary data for the vacuum Einstein equations
Paul Tod
Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality
M. Dunajski, J. B. Gutowski, W. A. Sabra +1
An example of an asymptotically $AdS_2\times S^2$ metric satisfying NEC but which is not exactly $AdS_2\times S^2$
Paul Tod