45 citations · 287 across the 42 of their papers we have counts for
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Batalin-Fradkin-Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Hořava type generating functions
Elşen Veli Veliev, Sergiu I. Vacaru
We develop and apply the Batalin-Fradkin-Vilkovisky (BFV) formalism for quantizing off-diagonal solutions of the Einstein equations in general relativity. In the quasi-classical li…
The Anholonomic Frame and Connection Deformation Method for constructing off-diagonal solutions in (modified) Einstein gravity and nonassociative geometric flows and Finsler-Lagrange-Hamilton theories
Laurenţiu Bubuianu, Julia O. Seti, Douglas Singleton +3
This article is a status report on the Anholonomic Frame and Connection Deformation Method, AFCDM, for constructing generic off-diagonal exact and parametric solutions in general r…
The fundamental physical importance of generic off-diagonal solutions and Grigori Perelman entropy in the Einstein gravity theory
Sergiu I. Vacaru, Elşen V. Veliev
The gravitational field equations in general relativity (GR) consist of a sophisticated system of nonlinear partial differential equations. Solving such equations in some generic o…
Nonmetric geometric flows and quasicrystalline topological phases for dark energy and dark matter in cosmology
L. Bubuianu, E. Nurlan, J. O. Seti +2
We elaborate on nonmetric geometric flow theory and metric-affine gravity with applications in modern cosmology. Two main motivations for our research follow from the facts that 1)…
Dark energy and dark matter configurations for wormholes and solitionic hierarchies of nonmetric Ricci flows and gravity
Laurenţiu Bubuianu, Sergiu I. Vacaru, Elşen Veli Veliev +1
We extend the anholonomic frame and connection deformation method, AFCDM, for constructing exact and parametric solutions in general relativity, GR, to geometric flow models and mo…
A geometric method of constructing exact solutions in modified f(R,T)-gravity with Yang-Mills and Higgs interactions
Sergiu I. Vacaru, Elsen Veli Veliev, Enis Yazici
We show that a geometric techniques can be elaborated and applied for constructing generic off-diagonal exact solutions in --modified gravity for systems of gravitational-Y…