General Relativity has shown an outstanding observational success in the scales where it
has been directly tested. However, modifications have been intensively explored in the …

Hořava's quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using
traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been …

Bridging the gap between modern differential geometry and the mathematical physics of
general relativity, this text, in its second edition, includes new and expanded material on …

This book reviews in a unified manner global aspects in gravitation theory and cosmology,
emphasizing the basic heme that the very nature of the gravitational field is such that global …

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 …

Abstract Recently, Poisson and Israel have shown how, when an electrically charged black
hole is perturbed, its inner horizon becomes a singularity of infinite spacetime curvature …

A detailed study of the singularity theorems is presented. I discuss the plausibility and
reasonability of their hypotheses, the applicability and implications of the theorems, as well …

Early in this century, it was shown that the new non-Newtonian physics--known as Einstein's
Special Theory of Relativity--rested on a new, non-Euclidean geometry, which incorporated …

This unique monograph by a noted UCLA professor examines in detail the mathematics of
Kerr black holes, which possess the properties of mass and angular momentum but carry no …

An energy condition, in the context of a wide class of spacetime theories (including general
relativity), is, crudely speaking, a relation one demands the stress-energy tensor of matter …