# Exact Solutions in Locally Anisotropic Gravity and Strings

@article{Vacaru1998ExactSI, title={Exact Solutions in Locally Anisotropic Gravity and Strings}, author={Sergiu I. Vacaru}, journal={arXiv: General Relativity and Quantum Cosmology}, year={1998}, volume={453}, pages={528-537} }

In this Report we outline some basic results on generalized Finsler–Kaluza–Klein gravity and locally anisotropic strings. There are investigated exact solutions for locally anisotropic Friedmann–Robertson–Walker universes and three dimensional and string black holes with generic anisotropy.

## 16 Citations

General Solutions for Field Equations in Einstein and High Dimensional Gravity

- Physics, Mathematics
- 2009

We prove that the Einstein equations can be solved in general form, for any spacetime dimension and various types of energy–momentum tensors following the anholonomic frame method for constructing…

2 2 Se p 20 09 On General Solutions in Einstein Gravity

- Physics
- 2009

We show how the Einstein equations with cosmological constant (and/or various types of matter field sources) can be integrated in a very general form following the anholonomic frame method for…

Two-loop Locally Anisotropic Corrections for nonlinear σ-model .

- Physics
- 2008

1 Abstract The article gives the explicit interpretation of the nonlinear locally anisotropic σ−model of Boze string 1. The equations of motions and tensor of energy-momentum, the background field…

Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity

- Mathematics
- 2007

In this article, we review the current status of Finsler-Lagrange geometry and generalizations. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skilled in general…

Finsler branes and quantum gravity phenomenology with Lorentz symmetry violations

- Physics
- 2011

A consistent theory of quantum gravity (QG) at Planck's scale almost surely contains manifestations of Lorentz local symmetry violations (LV) which may be detected at observable scales. This can be…

Axiomatic formulations of modified gravity theories with nonlinear dispersion relations and Finsler–Lagrange–Hamilton geometry

- PhysicsThe European Physical Journal C
- 2018

We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance…

Black Holes, Ellipsoids, and Nonlinear Waves in Pseudo-Finsler Spaces and Einstein Gravity

- Mathematics
- 2013

We model pseudo-Finsler geometries, with pseudo-Euclidean signatures of metrics, for two classes of four dimensional nonholonomic manifolds: (a) tangent bundles with two dimensional base manifolds…

Black holes with MDRs and Bekenstein–Hawking and Perelman entropies for Finsler–Lagrange–Hamilton Spaces

- PhysicsAnnals of Physics
- 2019

On General Solutions of Einstein Equations

- Mathematics
- 2011

We show how the Einstein equations with cosmological constant (and/or various types of matter field sources) can be integrated in a very general form following the anholonomic deformation method for…

Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces

- Mathematics
- 1998

We propose an approach to the theory of higher order anisotropic field interactions and curved spaces (in brief, ha-field, ha-interactions and ha-spaces). The concept of ha-space generalises various…

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