The scalarized Raychaudhuri identity and its applications

The scalarized Raychaudhuri identity and its applications

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 appropriatel...

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Veröffentlicht in:arXiv.org 2019-05
Hauptverfasser: Mychelkin, Eduard G, Makukov, Maxim A
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Sprache:eng
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Deduction
Deformation
Einstein equations
Klein-Gordon equation
Mathematical analysis
Physics - General Relativity and Quantum Cosmology
Tensors
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description 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.
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subjects Deduction
Deformation
Einstein equations
Klein-Gordon equation
Mathematical analysis
Physics - General Relativity and Quantum Cosmology
Tensors
title The scalarized Raychaudhuri identity and its applications
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