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We analyse second order (in Riemann curvature) geometric flows (un-normalised) on locally homogeneous three manifolds and look for specific features through the solutions (analytic whereever possible, otherwise numerical) of the evolution…

Differential Geometry · Mathematics 2015-04-13 Sanjit Das , Kartik Prabhu , Sayan Kar

The search for regular black hole solutions in classical gravity leads us to consider a core of Euclidean signature in the interior of a black hole. Solutions of Lorentzian and Euclidean general relativity match in such a way that energy…

High Energy Physics - Theory · Physics 2009-11-10 T. Hirayama , B. Holdom

To observe the dynamic formation of black holes in general relativity, one essentially needs to prove that closed trapped surfaces form during evolution from initial data that do not already contain trapped surfaces. We discuss the recent…

Analysis of PDEs · Mathematics 2020-03-03 Annegret Y. Burtscher

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. Because of small quantum fluctuations in the mass of the black hole, the usual approximation of treating the gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Miguel E. Ortiz

Raychaudhuri equation is derived by assuming geometric flow in spacetime M of n+1 dimensions. The equation turns into a harmonic oscillator form under suitable transformations.Thereby a relation between geometrical entropy and mean geodesic…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Lawrence Paul Horwitz , Vishnu S Namboothiri , Gautham Varma K , Asher Yahalom , Yossi Strauss , Jacob Levitan

According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Raúl Carballo-Rubio

We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions…

High Energy Physics - Theory · Physics 2008-06-04 Ratindranath Akhoury , Christopher S. Gauthier

We present a systematic numerical study of two-dimensional axisymmetric accretion flows around black holes. The flows have no radiative cooling and are treated in the framework of the hydrodynamical approximation. The models calculated in…

Astrophysics · Physics 2016-08-30 Igor V. Igumenshchev , Marek A. Abramowicz

A summary of how black holes grow in full, non-linear general relativity is presented. Specifically, a notion of "dynamical horizons" is introduced and expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar

We show that a formalism for analyzing the near-horizon conformal symmetry of Schwarzschild black holes using a scalar field probe is capable of describing black hole decay. The equation governing black hole decay can be identified as the…

High Energy Physics - Theory · Physics 2015-06-26 Kumar S. Gupta , Siddhartha Sen

In this paper, we study the thermodynamic features of a rotating black hole surrounded by perfect fluid dark matter. We analyze the critical behavior of the black hole by considering the known relationship between pressure and cosmological…

General Relativity and Quantum Cosmology · Physics 2020-04-03 Seyed Hossein Hendi , Azadeh Nemati , Kai Lin , Mubasher Jamil

We study the static, spherically symmetric black hole solutions for a non-minimally coupled multi-scalar theory. We find numerical solutions for values of the scalar fields when a certain constraint on the maximal charge is satisfied.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ben M. Leith , Alex B. Nielsen

We describe the systematical construction of the first order formalism for multi-centered black holes with flat three dimensional base-space, within the so-called $T^{3}$ model of N=2, D=4 ungauged Maxwell-Einstein supergravity. The three…

High Energy Physics - Theory · Physics 2015-06-05 Armen Yeranyan

Several classes of conformally-flat and spherically symmetric exact solutions to the Einstein field equations coupled with either a massless scalar field or a radiation fluid are given, and their main properties are studied. It is found…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang , J. F. Villas da Rocha , N. O. Santos

The existence of black holes is one of the key predictions of general relativity (GR) and therefore a basic consistency test for modified theories of gravity. In the case of spherical symmetry in GR the existence of an apparent horizon and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Sebastian Murk , Daniel R. Terno

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

In this paper, for dimensionally continued gravity coupled to Born-Infeld electromagnetic field, we construct topological black holes in diverse dimensions and construct dyonic black holes in general even dimensions. We study thermodynamics…

General Relativity and Quantum Cosmology · Physics 2018-03-26 Kun Meng , Da-Bao Yang

In theories with large extra dimensions and TeV-scale gravity, black holes are copiously produced in particle collisions at energies well above the Planck scale. I briefly review some recent work on the phenomenology of this process, with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bryan Webber

We establish various general results concerning static and spherically symmetric black hole solutions of general higher-derivative extensions of Einstein gravity. We prove that the only theories susceptible of admitting solutions with…

High Energy Physics - Theory · Physics 2017-08-16 Pablo Bueno , Pablo A. Cano