The scalarized Raychaudhuri identity and its applications
Abstract
We show that the covariant Raychaudhuri identity describing kinematic characteristics of space-time admits a representation involving a geometrical scalar which, depending on circumstances, might be related to, e.g., relativistic temperature or cosmological scalar field. With an appropriately chosen spacetime deformation tensor (fixing the symmetry of a problem under consideration), such scalarization opens a wide scope for physical applications. We consider few such applications including dynamics of cosmological (anti)scalar background, non-variational deduction of the field equations, scalar and black-hole thermodynamics and the reshaping of the Einstein equations into the Klein-Gordon equation in thermodynamic Killing space.
Keywords
Cite
@article{arxiv.1905.01955,
title = {The scalarized Raychaudhuri identity and its applications},
author = {Eduard G. Mychelkin and Maxim A. Makukov},
journal= {arXiv preprint arXiv:1905.01955},
year = {2019}
}
Comments
Accepted in PRD