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We present a four-dimensional Planck-scale corrected quadratic extension of General Relativity (GR) where no a priori relation between metric and connection is imposed (Palatini formalism). Static spherically symmetric electrovacuum…

High Energy Physics - Theory · Physics 2015-12-09 Francisco S. N. Lobo , Gonzalo J. Olmo , D. Rubiera-Garcia

In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the ``boundary'' of spacetime. I review what is…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We analyse an integrable model of two-dimensional gravity which can be reduced to a pair of Liouville fields in conformal gauge. Its general solution represents a pair of ``mirror'' black holes with the same temperature. The ground state is…

High Energy Physics - Theory · Physics 2009-10-31 J. Cruz , A. Fabbri , D. J. Navarro , J. Navarro-Salas

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant'…

High Energy Physics - Theory · Physics 2018-11-14 Sayantani Bhattacharyya , Parthajit Biswas , Yogesh Dandekar

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

Earlier constructed a simple nonlocal de Sitter gravity model has a cosmological solution in a very good agreement with astronomical observations. In this paper, we continue the investigation of the nonlocal de Sitter model of gravity,…

General Relativity and Quantum Cosmology · Physics 2022-12-29 I. Dimitrijevic , B. Dragovich , Z. Rakic , J. Stankovic

When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering…

High Energy Physics - Theory · Physics 2013-08-09 Ola Malaeb

We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest…

High Energy Physics - Theory · Physics 2008-11-26 A. H. Chamseddine , G. Felder , J. Fröhlich

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid. The formulation without a fluid is…

High Energy Physics - Theory · Physics 2011-03-22 G. Cognola , E. Elizalde , L. Sebastiani , S. Zerbini

The main interest of the work exposed in this thesis is to explore hairy black holes in a more general framework than General Relativity by taking into account the presence of a cosmological constant, of higher dimensions, of exotic matter…

General Relativity and Quantum Cosmology · Physics 2012-11-02 Yannis Bardoux

In the framework of Simpson-Visser, the search for field sources that produce black-bounces in alternative gravity theories has remained unresolved. In this paper, the first in a series exploring sources for alternative theories of gravity,…

General Relativity and Quantum Cosmology · Physics 2025-08-27 G. Alencar , M. Nilton , Manuel E. Rodrigues , Marcos V. de S. Silva

We present an effective four-dimensional formulation of the laws of gravity that respects the main features of a higher (five)-dimensional scenario of Randall-Sundrum type. The geometrical structure of the theory is that of a…

General Relativity and Quantum Cosmology · Physics 2012-10-30 I. Quiros , R. Bonal , R. Cardenas

We develop a method for solving the field equations of a quadratic gravitational theory coupled to matter. The quadratic terms are written as a function of the matter stress tensor and its derivatives in such a way to have, order by order,…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. Campanelli , C. O. Lousto , J. Audretsch

We discuss possible observational manifestations of static, spherically symmetric solutions of a class of multidimensional theories of gravity, which includes the low energy limits of supergravities and superstring theories as special…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , V. N. Melnikov

We have obtained an exact vacuum solution from a gravity sector contained in the minimal standard-model extension. The theoretical model assumes a Riemann spacetime coupled to the bumblebee field which is responsible for the spontaneous…

General Relativity and Quantum Cosmology · Physics 2018-05-07 R. Casana , A. Cavalcante , F. P. Poulis , E. B. Santos

We consider a $f(R)$ gravity theory in $(2+1)$-dimensions with a self-interacting scalar field non-minimally coupled to gravity. Without specifying the form of the $f(R)$ function, solving the field equations we find that the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2022-02-18 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

In this work we describe metric-affine theories anew by making a change of field variables. A series of equivalent frameworks is presented and identifications are worked out in detail. The advantage of applying the new frameworks is that…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Damianos Iosifidis , Konstantinos Pallikaris

We study spherically symmetric black hole solutions in a four-parameter Einstein-Cartan-type class of theories, called "torsion bigravity". These theories offer a geometric framework (with a metric and an independent torsionfull connection)…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Vasilisa Nikiforova , Thibault Damour
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