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Related papers: Curvature properties of Vaidya metric

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The ingoing Vaidya metric is introduced as a model for a non-rotating uncharged black hole emitting Hawking radiation. This metric is expected to capture the physics of the spacetime for radial coordinates up to a small multiple $(>1)$ of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Julius Piesnack , Klaus Kassner

The Vaidya metric serves as a useful model-building tool that captures many essential features of dynamical and/or evaporating black hole spacetimes. Working in a semiclassical setting, we show that in the limit of slow evaporation, a…

General Relativity and Quantum Cosmology · Physics 2023-04-25 Pravin Kumar Dahal , Fil Simovic

A spacetime denotes a pure radiation field if its energy momentum tensor represents a situation in which all the energy is transported in one direction with the speed of light. In 1989, Wils and later in 1997 Ludwig and Edgar studied the…

Differential Geometry · Mathematics 2017-04-03 Absos Ali Shaikh , Haradhan Kundu , Musavvir Ali , Zafar Ahsan

We prove that there can not be a smooth matching of the Generalized Vaidya metric with an exterior Schwarzschild/Vaidya patch across a finite boundary hypersurface unless the mass function is a function of the null coordinate alone. By…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Soumya Chakrabarti , Naresh Dadhich , Chiranjeeb Singha

The curvature properties of Robinson-Trautman metric have been investigated. It is shown that Robinson-Trautman metric admits several kinds of pseudosymmetric type structures such as Weyl pseudosymmetric, Ricci pseudosymmetric,…

Differential Geometry · Mathematics 2017-01-24 Absos Ali Shaikh , Musavvir Ali , Zafar Ahsan

We analyze a class of exact type II solutions of the Robinson-Trautman family which contain pure radiation and (possibly) a cosmological constant. It is shown that these spacetimes exist for any sufficiently smooth initial data, and that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Podolsky , Otakar Svitek

We carry out a study of the exterior of an axially and reflection symmetric source of gravitational radiation. The exterior of such a source is filled with a null fluid produced by the dissipative processes inherent to the emission of…

General Relativity and Quantum Cosmology · Physics 2016-11-23 L. Herrera , A. Di Prisco , J. Ospino

The primary focus of the current study is to explore the geometrical properties of the Vaidya-Bonner-de Sitter (briefly, VBdS) spacetime, which is a generalization of Vaidya-Bonner spacetime, Vaidya spacetime and Schwarzschild spacetime. In…

Differential Geometry · Mathematics 2024-02-20 Absos Ali Shaikh , Shyamal kumar Hui , Mousumi Sarkar , V. Amarendra Babu

We study some quantum mechanical aspects of dynamical black holes where the Vaidya metric is used as a model representing evaporating black holes. It is shown that in this model the Wheeler-DeWitt equation is solvable in whole region of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

The exterior of a relativistic star can be modelated with the Vaidya radiating metric. It is started from the generalized Vaidya metric that allows a type II fluid and studied the conditions of generating new analytical solutions of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maria Cristina Neacsu

In the context of a noncommutative model of coordinate coherent states, we present a Schwarzschild-like metric for a Vaidya solution instead of the standard Eddington-Finkelstein metric. This leads to the appearance of an exact $(t - r)$…

General Relativity and Quantum Cosmology · Physics 2014-11-21 S. Hamid Mehdipour

Kerr-Vaidya metrics are the simplest dynamical axially-symmetric solutions, all of which violate the null energy condition and thus are consistent with the formation of a trapped region in finite time according to distant observers. We…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Pravin K. Dahal , Swayamsiddha Maharana , Fil Simovic , Daniel R. Terno

The Gaussian curvature of a two-dimensional Riemannian manifold is uniquely determined by the choice of the metric. The formulas for computing the curvature in terms of components of the metric, in isothermal coordinates, involve the…

Differential Geometry · Mathematics 2013-11-11 Haakan Hedenmalm , Yolanda Perdomo

We discuss the near singularity region of the linear mass Vaidya metric. In particular we investi- gate the structure in the numerical solutions for the scattering of scalar and electromagnetic metric perturbations from the singularity. In…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Saeede Nafooshe , Martin O'Loughlin

In this work, we present a numerical scheme to study the quasinormal modes of the time-dependent Vaidya black hole metric in asymptotically anti-de Sitter spacetime. The proposed algorithm is primarily based on a generalized matrix method…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Kai Lin , Yunqi Liu , Wei-Liang Qian , Bin Wang , Elcio Abdalla

A null fluid with radial pressure is proposed as the source generating Vaidya spacetime. The fluid is anisotropic with no transversal pressures and $p = \rho/3$ as its equation of state, where $p$ is the isotropic pressure and $\rho$ is the…

General Relativity and Quantum Cosmology · Physics 2017-12-15 Hristu Culetu

In this paper we derive exact analytical formulas for the evolution of the photon sphere and for the angular radius of the shadow in a special Vaidya spacetime. The Vaidya metric describes a spherically symmetric object that gains or loses…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Jay Solanki , Volker Perlick

Kerr-Vaidya metrics are the simplest nonstationary extensions of the Kerr metric. We explore their properties and compare them with the near-horizon limits of the spherically symmetric self-consistent solutions (the ingoing Vaidya metric…

General Relativity and Quantum Cosmology · Physics 2020-12-17 Pravin Kumar Dahal , Daniel R. Terno

We consider here scalar and electromagnetic perturbations for the Vaidya metric in double-null coordinates. Such an approach allows one to go a step further in the analysis of quasinormal modes for time-dependent spacetimes. Some recent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elcio Abdalla , Cecilia B. M. H. Chirenti , Alberto Saa

It was recently shown that a massive thin shell that is sandwiched between a flat interior and an exterior geometry given by the outgoing Vaidya metric becomes null in a finite proper time. We investigate this transition for a general…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Robert B. Mann , Ian Nagle , Daniel R. Terno
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