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Geometric Flows and Perelman's Thermodynamics for Black Ellipsoids in and Einstein Gravity Theories
Tamara Gheorghiu, Vyacheslav Ruchin, Olivia Vacaru +1
We study geometric relativistic flow and Ricci soliton equations which (for respective nonholonomic constraints and self-similarity conditions) are equivalent to the gravitational…
Off-Diagonal Deformations of Kerr Black Holes in Einstein and Modified Massive Gravity and Higher Dimensions
Tamara Gheorghiu, Olivia Vacaru, Sergiu I. Vacaru
We find general parameterizations for generic off-diagonal spacetime metrics and matter sources in general relativity (GR) and modified gravity theories when the field equations de…
On Relativistic Generalization of Perelman's W-entropy and Statistical Thermodynamic Description of Gravitational Fields
Vyacheslav Ruchin, Olivia Vacaru, Sergiu I. Vacaru
Using double 2+2 and 3+1 nonholonomic fibrations on Lorentz manifolds, we extend the concept of W-entropy for gravitational fields in the general relativity, GR, theory. Such F- an…