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Homothetic congruences in general relativity

Research output: Contribution to journalArticlepeer-review

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-Nordström black hole. The results show remarkable differences to the common expectations from infalling congruences of massive particles.

Original languageEnglish
Article number1950001
JournalModern Physics Letters A
Volume34
Issue number1
DOIs
StatePublished - 10 Jan 2019
Externally publishedYes

Keywords

  • Homothetic fields
  • congruence kinematics
  • cotangent bundle
  • generalized Raychaudhuri equation

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