70 AIM, UMR 7158, CEA/DRF, CNRS, Université Paris Diderot, Irfu/Service d'Astrophysique,
Centre de Saclay, FR-91191 Gif-sur-Yvette, France

This chapter reviews standard tools used in the analysis of horizon and black hole physics,
most notably the congruences of null geodesics crossing a horizon. Rindler, event, Killing …

Accurate models of gravitational waves from merging black holes are necessary for
detectors to observe as many events as possible while extracting the maximum science …

Abstract We describe the Einstein Toolkit, a community-driven, freely accessible
computational infrastructure intended for use in numerical relativity, relativistic astrophysics …

This book introduces the modern field of 3+ 1 numerical relativity. The book has been written
in a way as to be as self-contained as possible, and only assumes a basic knowledge of …

We review the first modern singularity theorem, published by Penrose in 1965. This is the
first genuine post-Einsteinian result in general relativity, where the fundamental and fruitful …

General (tele) parallel Relativity, G∥ R, is the relativistic completion of Einstein's theories of
gravity. The focus of this article is the derivation of the homogeneous and isotropic solution …

The Rényi and Tsallis entropies are discussed as possible alternatives to the Bekenstein-
Hawking area-law entropy. It is pointed out how replacing the entropy notion, but not the …

In this paper we revisit the relation between the Friedmann equations and the first law of
thermodynamics. We find that the unified first law first proposed by Hayward to treat the …

A bstract We study general relativity at a null boundary using the covariant phase space
formalism. We define a covariant phase space and compute the algebra of symmetries at the …