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Perelman's W--entropy and Statistical and Relativistic Thermodynamic Description of Gravitational Fields
Using $3+1$ spacetime fibrations on Lorentz manifolds, we define an analogous W--entropy for gravitational fields. Such F- and W-functionals were introduced in the Ricci flow theory of threeExpand
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Deforming black hole and cosmological solutions by quasiperiodic and/or pattern forming structures in modified and Einstein gravity
We elaborate on the anholonomic frame deformation method, AFDM, for constructing exact solutions with quasiperiodic structure in modified gravity theories, MGTs, and general relativity, GR. SuchExpand
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Modified dynamical supergravity breaking and off-diagonal super-Higgs effects
We argue that generic off-diagonal vacuum and nonvacuum solutions for Einstein manifolds mimic physical effects in modified gravity theories (MGTs) and encode certain models of the , Hořava type withExpand
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Geometric information flows and G. Perelman entropy for relativistic classical and quantum mechanical systems
This work consists an introduction to the classical and quantum information theory of geometric flows of (relativistic) Lagrange--Hamilton mechanical systems. Basic geometric and physical propertiesExpand
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Entropy functionals for nonholonomic geometric flows, quasiperiodic Ricci solitons, and emergent gravity
We investigate gravity models emerging from nonholonomic (subjected to non-integrable constraints) Ricci flows. Considering generalizations of G. Perelman's entropy functionals, relativisticExpand
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SUPERSTRINGS IN HIGHER ORDER EXTENSIONS OF FINSLER SUPERSPACES
Abstract The work proposes a general background of the theory of field interactions and strings in spaces with higher order anisotropy. Our approach proceeds by developing the concept of higher orderExpand
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Modified dispersion relations in Hořava–Lifshitz gravity and Finsler brane models
We study possible links between quantum gravity phenomenology encoding Lorentz violations as nonlinear dispersions, the Einstein–Finsler gravity models, EFG, and nonholonomic (non-integrable)Expand
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Dirac spinor waves and solitons in anisotropic Taub-NUT spaces
We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein–Dirac equations in five-dimensional (5D)Expand
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On General Solutions in Einstein Gravity
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Clifford and Riemann-Finsler structures in geometric mechanics and gravity
The book contains a collection of works on Riemann-Cartan and metric-affine manifolds provided with nonlinear connection structure and on generalized Finsler-Lagrange and Cartan-Hamilton geometriesExpand
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