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Dimensional scales are examined in an extended 3+1 Vaidya atmosphere surrounding a Schwarzschild source. At one scale, the Vaidya null fluid vanishes and the spacetime contains only a single spherical 2-surface. Both of these behaviors can…

General Relativity and Quantum Cosmology · Physics 2015-06-25 E. N. Glass , J. P. Krisch

In this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models when we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Vitalii Vertogradov

We investigate the geometrical structure of Vaidya's spacetime in the case of a white hole with decreasing mass, stabilising to a black hole in finite or infinite time or evaporating completely. Our approach relies on a detailed analysis of…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Armand Coudray , Jean-Philippe Nicolas

In a recent series of papers, new exact analytical solutions to field equations of General Relativity representing interior spacetimes sourced by stationary rigidly rotating cylinders of fluids with various equations of state have been…

General Relativity and Quantum Cosmology · Physics 2024-07-08 M. -N. Célérier

We model the gravitational behaviour of a radiating star when the exterior geometry is the generalised Vaidya spacetime. The interior matter distribution is shear-free and undergoing radial heat flow. The exterior energy momentum tensor is…

General Relativity and Quantum Cosmology · Physics 2015-06-12 S. D. Maharaj , G. Govender , M. Govender

An isotropic and homogeneous cosmological model with a source of dark energy is studied. That source is simulated with a viscous relativistic fluid with minimal causal correction. In this model the restrictions on the parameters coming from…

General Relativity and Quantum Cosmology · Physics 2017-04-20 Carlos E. Laciana

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

We analyse the gravitational behaviour of a relativistic heat conducting fluid in a shear-free spherically symmetric spacetime. We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-12-31 B. P. Brassel , S. D. Maharaj , G. Govender

In this paper we consider non-linear Vaidya spacetime i.e. the case when the mass function has the non-linear form $M(v) \equiv \lambda v^n \,, \lambda >0 \,, n>1 $. We prove that the central naked singularity might form for values $n>1$…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Vitalii Vertogradov

An anisotropic fluid with variable energy density and negative pressure is proposed, both outside and inside stars. The gravitational field is constant everywhere in free space (if we neglect the local contributions) and its value is of the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Hristu Culetu

In a recent series of papers new exact analytical solutions of Einstein equations representing interior spacetimes sourced by stationary rigidly rotating cylinders of fluids have been displayed. We have first considered a fluid with an…

General Relativity and Quantum Cosmology · Physics 2024-07-08 M. -N. Célérier

A model is proposed of a collapsing quasi-spherical radiating star with matter content as shear-free isotropic fluid undergoing radial heat-flow with outgoing radiation. To describe the radiation of the system, we have considered both plane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ujjal Debnath , Soma Nath , Subenoy Chakraborty

The spherically symmetric, static spacetime generated by a crossflow of non-interacting radiation streams, treated in the geometrical optics limit (null dust) is equivalent to an anisotropic fluid forming a radiation atmosphere of a star.…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Zsolt Horváth , Zoltán Kovács , László Á. Gergely

The external matter stress-tensor supporting charged Vaidya solution appears to violate weak energy condition in certain region of the spacetime. Motivated by this, a new interpretation of charged Vaidya solution was proposed by Ori [1] in…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Soumyabrata Chatterjee , Suman Ganguli , Amitabh Virmani

We consider a non-static evolving version of the regular "black-bounce"/traversable wormhole geometry recently introduced in JCAP02(2019)042 [arXiv:1812.07114 [gr-qc]]. We first re-write the static metric using Eddington-Finkelstein…

General Relativity and Quantum Cosmology · Physics 2019-06-27 Alex Simpson , Prado Martin-Moruno , Matt Visser

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

Considering charged fluid spheres as anisotropic sources and the diffusion limit as the transport mechanism, we suppose that the inner space--time admits self--similarity. Matching the interior solution with the…

General Relativity and Quantum Cosmology · Physics 2016-08-16 W. Barreto , B. Rodríguez , L. Rosales , O. Serrano

An exact, plane wave solution of the gravitational field equations is investigated. The source stress tensor is represented by an anisotropic null fluid with energy flux to which the energy density $\rho$ and all pressures are finite…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Hristu Culetu

We consider non-stationary spherically symmetric $n$-dimensional charged black holes with varying mass $m(v)$ and/or electric charge $q(v)$, described by generic charged Vaidya metrics with cosmological constant $\Lambda$ in double null…

General Relativity and Quantum Cosmology · Physics 2011-09-07 Cecilia Chirenti , Alberto Saa

We model a radiating star undergoing dissipative gravitational collapse in the form of radial heat flux. The exterior of the collapsing star is described by the generalised Vaidya solution representing a mixture of null radiation and…

General Relativity and Quantum Cosmology · Physics 2017-09-13 NF Naidu , M Govender , S Thirukkanesh , SD Maharaj