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 $\xi$ 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.

Accepted in PRD

References in corpus (3)

• The Raychaudhuri equations: a brief review
• Global integrability of cosmological scalar fields
• Some generalizations of the Raychaudhuri equation

Cited by in corpus (1)

• Triple path to the exponential metric