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The self-similar spherically symmetric perfect fluid space-time with scalar function incorporating linear equation of state is studied. The investigation of gravitational collapse conditions on the space-time determines that scalar function…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Sanjay B. Sarwe , Gulshan O. Makkad

We impose perfect fluid concept along with slow expansion approximation to derive new solutions which, considering non-static spherically symmetric metrics, can be treated as Black Holes (BHs). We will refer to these solutions as Quasi BHs.…

General Relativity and Quantum Cosmology · Physics 2015-05-12 H. Moradpour , N. Riazi

We analyze the static and spherically symmetric perfect fluid solutions of Einstein field equations inspired by the non commutative geometry. In the framework of the non commutative geometry this solution is interpreted as a mini black hole…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Ivan Arraut Guerrero , Davide Batic , Marek Nowakowski

Analytic spherically symmetric solutions of the Einstein field equations coupled with a perfect fluid and with self-similarities of the zeroth, first and second kinds, found recently by Benoit and Coley [Class. Quantum Grav. {\bf 15}, 2397…

General Relativity and Quantum Cosmology · Physics 2009-11-07 C. F. C. Brandt , L. -M. Lin , J. F. Villas da Rocha , A. Z. Wang

We investigate the interior Einstein's equations in the case of a static, axially symmetric, perfect fluid source. We present a particular line element that is specially suitable for the investigation of this type of interior gravitational…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Medeu Abishev , Farida Belissarova , Kuantay Boshkayev , Hernando Quevedo , Saken Toktarbay , Aizhan Mansurova , Aray Muratkhan

The asymptotic properties of conformally static metrics in Einstein-aether theory with a perfect fluid source and a scalar field are analyzed. In case of perfect fluid, some relativistic solutions are recovered such as: Minkowski spacetime,…

General Relativity and Quantum Cosmology · Physics 2021-01-11 Genly Leon , Alfredo Millano , Joey Latta

A large class of Type II fluid solutions to Einstein field equations in N-dimensional spherical spacetimes is found, wich includes most of the known solutions. A family of the generalized collapsing Vaidya solutions with homothetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaime F. Villas da Rocha

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

For any spherically symmetric black hole spacetime with an ideal fluid source, we establish a dual fluid system on a hypersurface near the black hole horizon. The dual fluid is incompressible and obeys Navier-Stokes equation subject to some…

High Energy Physics - Theory · Physics 2015-06-15 Bin Wu , Liu Zhao

In this paper we revisit and extend the prior work of Filho and Bezerra [Phys. Rev D, 64, 084009 (2001)] to rotating dyonic global monopoles in presence of a perfect fluid. We then show that the surface topology at the event horizon,…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Sumarna Haroon , Kimet Jusufi , Mubasher Jamil

To an outside observer, a black hole's event horizon appears to behave exactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in general $f(R)$ theories of gravity. We derive the stress tensor and various…

High Energy Physics - Theory · Physics 2015-05-20 Saugata Chatterjee , Maulik Parikh , Sudipta Sarkar

We discuss black holes in an effective theory derived from a superstring model, which includes a dilaton field, a gauge field and the Gauss-Bonnet term. Assuming U(1) or SU(2) symmetry for the gauge field, we find four types of spherically…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Takashi Torii , Hiroki Yajima , Kei-ichi Maeda

In this essay we examine the gravitational collapse of a nonrelativistic charged perfect fluid interacting with a dark energy component. Given a simple factor for the energy transfer, we obtain a nonsingular interior solution which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Rodrigo Maier

We show that the classification of shearless and incompressible stationary fluid flows on ultrastatic manifolds is equivalent to classifying the isometries of the spatial sections. For a flow on R x S$^2$ this leaves only one possibility,…

High Energy Physics - Theory · Physics 2015-06-19 Dietmar Klemm , Andrea Maiorana

A class of solutions to Einstein field equations is studied, which represents gravitational collapse of thick spherical shells made of self-similar and shear-free fluid with heat flow. It is shown that such shells satisfy all the energy…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological…

General Relativity and Quantum Cosmology · Physics 2017-01-20 Mustapha Azreg-Aïnou

Space-times admitting a 3-dimensional Lie group of conformal motions $C_3$ acting on null orbits are studied. Coordinate expressions for the metric and the conformal Killing vectors (CKV) are then provided (irrespectively of the matter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. M. Sintes , J. Carot

We prove the existence of general relativistic perfect fluid black hole solutions, and demonstrate the phenomenon for the $P=w\rho$ class of equations of state. While admitting a local time-like Killing vector on the event horizon itself,…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Aharon Davidson , Shimon Rubin , Yosef Verbin

Nearly every galactic core contains a supermassive compact object, hypothesized to be a Kerr black hole. It was only with the advent of Event Horizon Telescope observations that the predictions of this hypothesis could be observationally…

High Energy Astrophysical Phenomena · Physics 2025-10-14 Tomasz Krajewski , Włodek Kluźniak
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