Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
Sergiu I. Vacaru, Mihai Visinescu
Abstract
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions. Some conceptual issues on spacetimes provided with generic off-diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/Ricci flow models with nontrivial torsion to configurations with the Levi-Civita connection is allowed in some specific physical circumstances by constraining the class of integral varieties for the Einstein and Ricci flow equations.
Create a lesson
Related papers
Emergent vacua and stability constraints on black hole solutions in higher-dimensional f(R) gravity
Nicolás Trullols Sandino, Andrei Galiautdinov
Electric and magnetic Penrose processes, charged-particle collisions and superradiance around a Lorentz-violating dyonic black hole
Fernando M. Belchior, Edilberto O. Silva
Conformal Cyclic Cosmology from Varying Fundamental Constants
Konrad Marosek, Adam Balcerzak
Perturbations of black holes with primary hair: time evolutions, quasinormal modes and greybody factors
Georgios Antoniou
Gravitational Lensing of Hayward Black Holes with EFT-Corrected Photon Propagation
Takamasa Kanai
Near-Horizon BMS Symmetry and Implications on Black Hole Entropy
Nihar Ranjan Ghosh, Malay K. Nandy