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In this paper, we investigate black-hole thermodynamics in the multi-fractional theory with $q$-derivatives, focusing on static, spherically symmetric vacuum solutions in the spherical-coordinate approximation. In the geometric frame the…

广义相对论与量子宇宙学 · 物理学 2026-05-06 Reggie C. Pantig

The entropy of stationary black holes has recently been calculated by a number of different approaches. Here we compare the Noether charge approach (defined for any diffeomorphism invariant Lagrangian theory) with various Euclidean methods,…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Vivek Iyer , Robert M. Wald

We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct $d$-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant constructed…

广义相对论与量子宇宙学 · 物理学 2020-02-20 Sigbjørn Hervik , Marcello Ortaggio

We present new regular black hole solutions in general relativity (GR) within a static, spherically symmetric framework governed by a variable equation of state, following the approach of [Class. Quant. Grav. 42, 025024 (2025)]. The matter…

We study a cosmological model in the framework of teleparallel gravity, where a vector field $A_\mu$ is non-minimally coupled to the torsion scalar $T$ in a flat Friedmann-Robertson-Walker (FRW) universe. Using the Noether symmetry…

广义相对论与量子宇宙学 · 物理学 2025-08-26 Yusuf Kucukakca , Fereshteh Omidvar , Amin Rezaei Akbarieh

Despite the fact that General Relativity (GR) has been very successful, many alternative theories of gravity have attracted the attention of a significant number of theoretical physicists. Among these theories, we have theories with…

广义相对论与量子宇宙学 · 物理学 2019-05-14 J. B. Formiga

Perturbed equations for an arbitrary metric theory of gravity in $D$ dimensions are constructed in the vacuum of this theory. The nonlinear part together with matter fields are a source for the linear part and are treated as a total…

广义相对论与量子宇宙学 · 物理学 2015-06-25 A. N. Petrov

We describe how to recover the quantum numbers of extremal black holes from their near horizon geometries. This is achieved by constructing the gravitational Noether-Wald charges which can be used for non-extremal black holes as well. These…

高能物理 - 理论 · 物理学 2008-11-26 Nemani V. Suryanarayana , Matthias C. Wapler

All degrees of freedom related to the torsion scalar can be explored by analysing, the $f(T,T_G)$ gravity formalism where, $T$ is a torsion scalar and $T_G$ is the teleparallel counterpart of the Gauss-Bonnet topological invariant term. The…

广义相对论与量子宇宙学 · 物理学 2023-03-27 S. A. Kadam , B. Mishra , Jackson Levi Said

Arbitrary diffeomorphically invariant metric-torsion theories of gravity are considered. It is assumed that Lagrangians of such theories contain derivatives of field variables (tensor densities of arbitrary ranks and weights) up to a second…

广义相对论与量子宇宙学 · 物理学 2013-07-02 Robert R. Lompay , Alexander N. Petrov

We continue our study in 4-dimension to derive non-charged and charged (Anti)-de Sitter black hole solutions in conformal teleparallel equivalent of general relativity. The non-charged and charged equations of motion are applied to a…

广义相对论与量子宇宙学 · 物理学 2020-03-26 G. G. L. Nashed , Kazuharu Bamba

This work aims to present the quantum aspects of a non-commutative gauge gravity formulation of a Schwarzschild-like black hole constructed via the Moyal twist $\partial_t \wedge \partial_\theta$. Particle creation is estimated for bosonic…

广义相对论与量子宇宙学 · 物理学 2026-01-21 A. A. Araújo Filho , I. P. Lobo , P. H. M. Barros , Amilcar R. Queiroz

The aim of the current paper is to study the multiscalar-tensor theories of gravity without derivative couplings. We construct a few basic objects that are invariant under a Weyl rescaling of the metric and transform covariantly when the…

广义相对论与量子宇宙学 · 物理学 2016-01-25 Piret Kuusk , Laur Jarv , Ott Vilson

In this paper, a noncommutative gravitational theory is constructed by applying Moyal deformation quantization and the Seiberg-Witten map to teleparallel gravity, a classical gravitational theory, as a gauge theory of local translational…

广义相对论与量子宇宙学 · 物理学 2018-07-20 Ryouta Matsuyama , Michiyasu Nagasawa

An analysis of a spherically symmetric braneworld configuration is performed when the intrinsic curvature scalar is included in the bulk action. In the case when the electric part of the Weyl tensor is zero, all the exterior solutions are…

高能物理 - 理论 · 物理学 2010-11-19 G. Kofinas , E. Papantonopoulos , V. Zamarias

A modification of the Maxwell equations due to the presence of a gravitational field was formerly proposed for a scalar theory with a preferred reference frame. With this modification, the electric charge is not conserved. The aim of the…

综合物理 · 物理学 2018-01-31 Mayeul Arminjon

Tetrad field, with two unknown functions of radial coordinate and an angle $\Phi$ which is the polar angle $\phi$ times a function of the redial coordinate, is applied to the field equation of modified theory of gravity. Exact vacuum…

广义相对论与量子宇宙学 · 物理学 2015-01-07 G. G. L. Nashed

Asymptotically flat gravitating systems have 10 conserved quantities, which lack proper local densities. It has been hoped that the teleparallel equivalent of Einstein's GR (TEGR, aka GR${}_{||}$) could solve this gravitational…

广义相对论与量子宇宙学 · 物理学 2016-11-09 James M. Nester , Fei-Hong Ho , Chiang-Mei Chen

Within the framework of teleparallel equivalent of general relativity (TEGR) theory, calculation of the total energy and momentum of Kerr-NUT spacetimes have been employed using two methods of the gravitational energy-momentum, which is…

综合物理 · 物理学 2012-04-03 G. G. L. Nashed

The conserved charges associated to gauge symmetries are defined at a boundary component of space-time because the corresponding Noether current can be rewritten on-shell as the divergence of a superpotential. However, the latter is…

广义相对论与量子宇宙学 · 物理学 2011-07-19 B. Julia , S. Silva