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We review in a pedagogical fashion the 3+1-split which serves to put Einstein's equations into the form of a dynamical system with constraints. We then discuss the constraint equations under the simplifying assumption of time-symmetry.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

Perturbation theory of rotating black holes is described in terms of the Weyl scalars $\psi_4$ and $\psi_0$; each satisfying the Teukolsky's complex master wave equation with spin $s=\mp2$, and respectively representing outgoing and ingoing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos O. Lousto

We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

We explore the post-Newtonian dynamics of spinning black hole (BH) binaries in Einstein-ScalarGauss-Bonnet (ESGB) gravity, a theory that modifies general relativity by introducing a massless scalar field coupled nonminimally to gravity via…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Gabriel Luz Almeida , Shuang-Yong Zhou

In this paper we present two results in $(2+1)$ gravity coupled to nonlinear electrodynamics. First it is determined the general form of the electromagnetic field tensor in $(2+1)$ gravity coupled to nonlinear electrodynamics in stationary…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Pedro Cañate , Nora Breton

A semiclassical two-dimensional dilaton-gravity model is obtained by dimensional reduction of the spherically symmetric five-dimensional Einstein equations and used to investigate black hole evaporation. It is shown that this model prevents…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

We discuss black hole quantization in the Wheeler-DeWitt approach. Our consideration is based on a detailed investigation of the canonical formulation of gravity with special considerations of surface terms. Since the phase space of gravity…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Thorsten Brotz

We consider the gravitation-dilaton theory (not necessarily exactly solvable), whose potentials represent a generic linear combination of an exponential and linear functions of the dilaton. A black hole, arising in such theories, is…

High Energy Physics - Theory · Physics 2009-11-10 O. B. Zaslavskii

Recently, a variational principle has been derived from Einstein-Hilbert and a matter Lagrangian for the spherically symmetric system of a dust shell and a black hole. The so-called physical region of the phase space, which contains all…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. Hajicek

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive,…

High Energy Physics - Theory · Physics 2011-02-22 Roberto Balbinot , Alessandro Fabbri , Piero Nicolini , Patrick J. Sutton

We study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction in a semiclassical approximation including back-reaction. The reduced action involves the cosmological…

High Energy Physics - Theory · Physics 2025-06-12 Voja Radovanović , Stefan Đorđević

The aim of this paper is to propose a generalized Cardy formula in the case of three-dimensional hyperscaling violation black holes. We first note that for the hyperscaling violation metrics, the scaling of the entropy in term of the…

High Energy Physics - Theory · Physics 2015-06-17 Moises Bravo-Gaete , Sebastian Gomez , Mokhtar Hassaine

In LQG, black hole horizons are described by 2+1 dimensional boundaries of a bulk 3+1 dimensional spacetime. The horizon is endowed with area by lines of gravitational flux which pierce the surface. As is well known, counting of the…

General Relativity and Quantum Cosmology · Physics 2012-08-17 Deepak Vaid

Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Ryan McManus , Emanuele Berti , Caio F. B. Macedo , Masashi Kimura , Andrea Maselli , Vitor Cardoso

In this work we study the 2+1 Einstein-Klein-Gordon system in the framework of Gravitational Decoupling. We associate the generic matter decoupling sector with a real scalar field so we can obtain a constraint which allows to close the…

General Relativity and Quantum Cosmology · Physics 2022-03-07 Pio J. Arias , Pedro Bargueño , Ernesto Contreras , Ernesto Fuenmayor

We consider axial (or odd-parity) perturbations of non-spinning hairy black holes (BH) in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories, including terms quartic and cubic in second derivatives of the scalar field.…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Karim Noui , Hugo Roussille , David Langlois

Motivated by black holes surrounded by accretion structures, we consider in this series static and axially symmetric black holes "perturbed" gravitationally as being encircled by a thin disc or a ring. In previous papers, we employed…

General Relativity and Quantum Cosmology · Physics 2019-11-25 L. Polcar , O. Semerák

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

The detection of gravitational waves from binary black holes sources has opened the possibility to search for electric charges and "dark" charges on black holes, the latter being candidates for dark matter. This requires theoretical…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Pawan Kumar Gupta

The first order corrections to the geometry of the (2+1)-dimensional black hole due to back-reaction of a massless conformal scalar field are computed. The renormalized stress energy tensor used as the source of Einstein equations is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Cristian Martinez , Jorge Zanelli