Dimensionally continued Oppenheimer-Snyder gravitational collapse II: solutions in odd dimensions
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless it is possible to reduce them to two, the cosmological constant and Newton's constant. In this process one separates theories in even dimensions from theories in odd dimensions. In a previous work gravitational collapse in even dimensions was analysed. In this work attention is given to odd dimensions. It is found that black holes also emerge as the final state of gravitational collapse of a regular dust fluid.
Cite
@article{arxiv.gr-qc/9902054,
title = {Dimensionally continued Oppenheimer-Snyder gravitational collapse II: solutions in odd dimensions},
author = {Anderson Ilha and Antares Kleber and Jose' P. S. Lemos},
journal= {arXiv preprint arXiv:gr-qc/9902054},
year = {2015}
}
Comments
16 pages, 3figures, latex Journal: to appear in Journal of Mathematical Physics