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This book offers a systematic exposition of conformal methods and how they can be used to
study the global properties of solutions to the equations of Einstein's theory of gravity. It …

James Clerk Maxwell discovered in 1865 that electromagnetic phenomena satisfied wave
equations and found that the velocity of these waves in vacuum was numerically the same …

A bstract AdS7 supersymmetric solutions in type IIA have been classified, and they are
infinitely many. Moreover, every such solution has a non-supersymmetric sister. In this pa …

We present a number of open problems within general relativity. After a brief introduction to
some technical mathematical issues and the famous singularity theorems, we discuss the …

Explore spectacular advances in cosmology, relativistic astrophysics, gravitational wave
science, mathematics, computational science, and the interface of gravitation and quantum …

We consider the conformally invariant cubic wave equation on the Einstein cylinder R * S^ 3
R× S 3 for small rotationally symmetric initial data. This simple equation captures many key …

We calculate the spectrum of linear perturbations of standing wave solutions discussed in
[Phys. Rev. D 87, 123006 (2013)] as the first step of investigating the stability of the globally …

We present a numerical study of rotational dynamics in AdS 5 with equal angular momenta
in the presence of a complex doublet scalar field. We determine that the endpoint of …

We report on numerical constructions of fully non-linear geons in asymptotically anti-de
Sitter (AdS) spacetimes in four dimensions. Our approach is based on 3+ 1 formalism and …