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Related papers: Radiating relativistic matter in geodesic motion

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We investigate whether compact stars having Tolman-like interior geometry admit conformal symmetry. Taking anisotropic pressure along the two principal directions within the compact object, we obtain physically relevant quantities such as…

General Relativity and Quantum Cosmology · Physics 2016-07-25 Farook Rahaman , Sunil D. Maharaj , Iftikar Hossain Sardar , Koushik Chakraborty

This series of works revisits the geometry, dynamics, and covariant phase space of spherically symmetric spacetimes with the aim of exploring the thermodynamics of spacetime from their dynamical properties. In this first paper, we examine…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Puttarak Jai-akson , Yuki Yokokura

We obtain fields of a relativistic radiating star of non-static mass in the framework of higher dimensional spacetime. Assuming energy-momentum tensor in Higher dimensions analogous to that considered by Vaidya in 4 dimensions we obtain…

Astrophysics · Physics 2007-08-07 B. C. Paul , P. K. Chattopadhyay

We investigate the geometrical properties, spectral classification, geodesics, and causal structure of the Bonnor's spacetime [Journal of Physics A Math. Gen., \textbf{10}, 1673 (1977)], i.e., a stationary axisymmetric solution with a…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Davide Astesiano , Donato Bini , Andrea Geralico , Matteo Luca Ruggiero

Geodesics in general relativity describe the behaviour of test particles in a gravitational field. In 5D Kaluza-Klein, geodesics reproduce the Lorentz force motion of particles in an electromagnetic field. This paper studies geodesic motion…

High Energy Physics - Theory · Physics 2025-02-13 Joao Baptista

We develop a general formalism to treat, in general relativity, the nonradial oscillations of a superfluid neutron star about static (non-rotating) configurations. The matter content of these stars can, as a first approximation, be…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. Andersson , G. L. Comer , D. Langlois

We introduce a model concerning radiational gaseous stars and establish the existence theory of stationary solutions to the free boundary problem of hydrostatic equations describing the radiative equilibrium. We also concern the local…

Analysis of PDEs · Mathematics 2017-06-08 Xin Liu

We introduce a physically important object, called the horizon function, in the study of geodesic collapse. It is closely related to the stellar characteristics and satisfies a simple Riccati equation. This equation is integrated and all of…

General Relativity and Quantum Cosmology · Physics 2016-01-20 B. V. Ivanov

Interpretation of interferometric observations of rapidly rotating stars requires a good model of their surface effective temperature. Until now, laws of the form T_eff \propto g_eff^{\beta} have been used, but they are only valid for…

Solar and Stellar Astrophysics · Physics 2011-09-15 Francisco Espinosa Lara , Michel Rieutord

In this article the geodesic motion of test particles in the spacetime of a supersymmetric AdS$_5$ black hole is studied. The equations of motion are derived and solved in terms of the Weierstrass $\wp$, $\sigma$ and $\zeta$ functions.…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Jens-Christian Drawer , Saskia Grunau

We study relativistic stars in Hordenski theories that evade the gravitational wave constraints and exhibit the Vainshtein mechanism, focusing on a model based on the cubic Galileon Lagrangian. We derive the scalar field profile for static…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Hiromu Ogawa , Tsutomu Kobayashi , Kazuya Koyama

A comprehensive analysis of general relativistic spacetimes which admit a shear-free, irrotational and geodesic timelike congruence is presented. The equations governing the models for a general energy-momentum tensor are written down.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Alan A. Coley , Des J. Mc Manus

The atmospheres of planets (including Earth) and the outer layers of stars have often been treated in radiative transfer as plane-parallel media, instead of spherical shells, which can lead to inaccuracy, e.g. limb darkening. We give an…

Statistical Mechanics · Physics 2009-11-11 Michael J. Caola

The dynamics of pseudo-classical spinning particles in spacetime of gravitational plane waves of general polarization and harmonic profile is studied. The resulting equations of motion are solved exactly and the results are compared with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Morteza Mohseni

We consider the general case of an accelerating, expanding and shearing model of a radiating relativistic star using Lie symmetries. We obtain the Lie symmetry generators that leave the equation for the junction condition invariant, and…

General Relativity and Quantum Cosmology · Physics 2015-06-23 G. Z. Abebe , S. D. Maharaj , K. S. Govinder

In this article, the ray tracing method is studied beyond the classical geometrical theory. The trajectories are here regarded as geodesics in a Riemannian manifold, whose metric and topological properties are those induced by the…

Mathematical Physics · Physics 2013-07-24 Enrico De Micheli , Giovanni Alberto Viano

We study relativistic stars in the simplest model of the de Rham-Gabadadze-Tolley massive gravity which describes the massive graviton without ghost propagating mode. We consider the hydrostatic equilibrium, and obtain the modified…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Taishi Katsuragawa , Shin'ichi Nojiri , Sergei D. Odintsov , Masashi Yamazaki

Irrotational relativistic vortex configurations in uniform subsonic motion with respect to a surrounding perfect fluid are analysed for the purpose of application to superfluid layers in neutron stars. Asymptotic solutions are found by…

Astrophysics · Physics 2009-10-30 Brandon Carter , David Langlois , Denis Priou

Relativistically covariant form of equation of motion for arbitrarily shaped dust particle (neutral in charge) under the action of electromagnetic radiation is derived -- emission, scattering and absorption of radiation is considered. The…

Astrophysics · Physics 2007-05-23 Jozef Klacka

We study the matching of a general spherically symmetric spacetime with a Vaidya-Reissner-Nordstrom solution. To that end, we study the properties of spherically symmetric electromagnetic fields and develop the proper gravitational and…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Francesc Fayos , Jose M. M. Senovilla , Ramon Torres
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