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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 decouple with respect to certain types of nonholonomic frames…

广义相对论与量子宇宙学 · 物理学 2014-12-25 Tamara Gheorghiu , Olivia Vacaru , Sergiu I. Vacaru

We establish a deformation framework for highly symmetric solutions to the Einstein equations. In this framework, four-dimensional metrics are constructed from three-dimensional {\eta}-Einstein metrics admitting a deformation determined by…

广义相对论与量子宇宙学 · 物理学 2026-04-23 Hiroshi Kozaki , Satsuki Matsuno , Tatsuhiko Koike , Yoshiyuki Morisawa , Hideki Ishihara

The horizon and geodesic structure of static configurations generated by anisotropic conformal transforms of the Schwarzschild metric is analyzed. We construct the maximal analytic extension of such off--diagonal vacuum metrics and conclude…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sergiu Vacaru , D. E. Goksel

We derive the master equations governing axial and polar gravitational perturbations of a generic static and spherically symmetric black hole spacetime within the framework of the revised Deser--Woodard nonlocal gravity theory. We then…

广义相对论与量子宇宙学 · 物理学 2026-01-19 Rocco D'Agostino , Vittorio De Falco

We consider three dimensional Einstein gravity non-minimally coupled to a real scalar field with a self-interacting scalar potential and present the exact black hole formation in three dimensions. Firstly we obtain an exact time-dependent…

高能物理 - 理论 · 物理学 2014-10-23 Wei Xu

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

广义相对论与量子宇宙学 · 物理学 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

This paper investigates the interplay between the geometric and topological properties of spherically symmetric black hole metrics within Einstein gravity, emphasizing implications for Bose-Einstein Condensation (BEC). By analyzing metric…

综合物理 · 物理学 2024-10-10 Wen-Xiang Chen

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

高能物理 - 理论 · 物理学 2009-11-11 Hideki Maeda , Naresh Dadhich

We construct new classes of exact solutions in metric--affine gravity (MAG) with string corrections by the antisymmetric $H$--field. The solutions are parametrized by generic off--diagonal metrics possessing noncommutative symmetry…

高能物理 - 理论 · 物理学 2007-05-23 Sergiu I. Vacaru , Evghenii Gaburov

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

广义相对论与量子宇宙学 · 物理学 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

We explicitly prove that the Weyl conformal symmetry solves the black hole singularity problem, otherwise unavoidable in a generally covariant local or non-local gravitational theory. Moreover, we yield explicit examples of local and…

广义相对论与量子宇宙学 · 物理学 2017-05-04 Cosimo Bambi , Leonardo Modesto , Leslaw Rachwal

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

广义相对论与量子宇宙学 · 物理学 2020-05-27 Shuang Yu , Changjun Gao

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

广义相对论与量子宇宙学 · 物理学 2016-08-23 M. Basovník , O. Semerák

We analyze the horizon and geodesic structure of a class of 4D off--diagonal metrics with deformed spherical symmetries, which are exact solutions of the vacuum Einstein equations with anholonomic variables. The maximal analytic extension…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Sergiu Vacaru

We obtain a new, exact, solution of the Einstein's equation in higher dimensions. The source is given by a static spherically symmetric, Gaussian distribution of mass and charge. De-localization of mass and charge is due to the presence of…

高能物理 - 理论 · 物理学 2009-02-19 Euro Spallucci , Anais Smailagic , Piero Nicolini

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

广义相对论与量子宇宙学 · 物理学 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

It is formulated a new 'anholonomic frame' method of constructing exact solutions of Einstein equations with off--diagonal metrics in 4D and 5D gravity. The previous approaches and results are summarized and generalized as three theorems…

高能物理 - 理论 · 物理学 2007-05-23 Sergiu I. Vacaru

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

高能物理 - 理论 · 物理学 2018-03-14 Zhong-Ying Fan

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Kashif Alvi