Homothetic Congruences in General Relativity
General Relativity and Quantum Cosmology
2018-11-20 v5 Mathematical Physics
math.MP
Abstract
The kinematical characteristics of distinct infalling homothetic fields are discussed by specifying the transverse subspace of their generated congruences to the energy-momentum deposit of the chosen gravitational system. This is pursued through the inclusion of the base manifold's cotangent bundle in a generalized Raychaudhuri equation and its kinematical expressions. Exploiting an electromagnetic energy-momentum tensor as the source of non-gravitational effects, I investigate the evolution of the mentioned homothetic congruences, as they fall onto a Reissner-Nordstrom black hole. The results show remarkable differences to the common expectations from infalling congruences of massive particles.
Cite
@article{arxiv.1711.01144,
title = {Homothetic Congruences in General Relativity},
author = {Mohsen Fathi},
journal= {arXiv preprint arXiv:1711.01144},
year = {2018}
}
Comments
19 pages, 15 figures