Note on the thermodynamics and the speed of sound of a scalar field

J\'ulio C. Fabris; Neven Bili\'c; Oliver F. Piattella

Note on the thermodynamics and the speed of sound of a scalar field

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arxiv 1309.4282 v2 pith:6CIHLX7L submitted 2013-09-17 gr-qc astro-ph.CO

Note on the thermodynamics and the speed of sound of a scalar field

Oliver F. Piattella , J\'ulio C. Fabris , Neven Bili\'c This is my paper

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keywords fieldscalarkineticpotentialapplicationchemicalcorrespondencecosmological

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We investigate the correspondence between a perfect fluid and a scalar field and show a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and chemical potential in terms of the scalar field phi and its kinetic term X. We prove a theorem which relates isentropy with purely kinetic Lagrangian. As an application, we study the evolution of the gravitational potential in cosmological perturbation theory.

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Frame invariant diffusive formulation of scalar-tensor gravity
gr-qc 2026-04 unverdicted novelty 7.0

Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.