Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows

• Published in: The European physical journal. C, Particles and fields Vol. 81; no. 1; pp. 1 - 25
• Main Authors: Vacaru, Sergiu I., Veliev, Elşen Veli, Bubuianu, Laurenţiu
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2021; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Configurations; Construction; Cosmology; Crystal structure; Decoupling; Differential equations; Einstein equations; Elementary Particles; Entropy; Evolution; Flow equations; Gravitation; Hadrons; Heavy Ions; Mathematical models; Measurement Science and Instrumentation; Nonlinear differential equations; Nonlinear equations; Nonlinear systems; Nuclear Energy; Nuclear Physics; Partial differential equations; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quasicrystals; Regular Article - Theoretical Physics; Relativistic effects; Relativistic theory; Relativity; Self-similarity; Solitary waves; Statistical thermodynamics; String Theory; Thermodynamics

We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G. Perelman’s functionals and related entropic values used for deriving relativistic geometric evolutio...