Radiating star with a time-dependent Karmarkar condition

Radiating star with a time-dependent Karmarkar condition

Abstract In this paper we employ the Karmarkar condition (Proc Indian Acad Sci A 27:56, 1948) to model a spherically symmetric radiating star undergoing dissipative gravitational collapse in the form of a radial heat flux. A particular solution of the boundary condition renders the Karmarkar conditi...

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Main Authors: Nolene Ferrari Naidu, Megandhren Govender, Sunil D. Maharaj
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5457-6
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spelling doaj-43095908df9d43f19eb87451ca432abb2020-11-24T22:03:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-017811710.1140/epjc/s10052-017-5457-6Radiating star with a time-dependent Karmarkar conditionNolene Ferrari Naidu0Megandhren Govender1Sunil D. Maharaj2Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalDepartment of Mathematics, Faculty of Applied Sciences, Durban University of TechnologyAstrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalAbstract In this paper we employ the Karmarkar condition (Proc Indian Acad Sci A 27:56, 1948) to model a spherically symmetric radiating star undergoing dissipative gravitational collapse in the form of a radial heat flux. A particular solution of the boundary condition renders the Karmarkar condition independent of time which allows us to fully specify the spatial behaviour of the gravitational potentials. The interior solution is smoothly matched to Vaidya’s outgoing solution across a time-like hypersurface which yields the temporal behaviour of the model. Physical analysis of the matter and thermodynamical variables show that the model is well-behaved.http://link.springer.com/article/10.1140/epjc/s10052-017-5457-6
collection DOAJ
language English
format Article
sources DOAJ
author Nolene Ferrari Naidu
Megandhren Govender
Sunil D. Maharaj
spellingShingle Nolene Ferrari Naidu
Megandhren Govender
Sunil D. Maharaj
Radiating star with a time-dependent Karmarkar condition
European Physical Journal C: Particles and Fields
author_facet Nolene Ferrari Naidu
Megandhren Govender
Sunil D. Maharaj
author_sort Nolene Ferrari Naidu
title Radiating star with a time-dependent Karmarkar condition
title_short Radiating star with a time-dependent Karmarkar condition
title_full Radiating star with a time-dependent Karmarkar condition
title_fullStr Radiating star with a time-dependent Karmarkar condition
title_full_unstemmed Radiating star with a time-dependent Karmarkar condition
title_sort radiating star with a time-dependent karmarkar condition
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2018-01-01
description Abstract In this paper we employ the Karmarkar condition (Proc Indian Acad Sci A 27:56, 1948) to model a spherically symmetric radiating star undergoing dissipative gravitational collapse in the form of a radial heat flux. A particular solution of the boundary condition renders the Karmarkar condition independent of time which allows us to fully specify the spatial behaviour of the gravitational potentials. The interior solution is smoothly matched to Vaidya’s outgoing solution across a time-like hypersurface which yields the temporal behaviour of the model. Physical analysis of the matter and thermodynamical variables show that the model is well-behaved.
url http://link.springer.com/article/10.1140/epjc/s10052-017-5457-6
work_keys_str_mv AT noleneferrarinaidu radiatingstarwithatimedependentkarmarkarcondition
AT megandhrengovender radiatingstarwithatimedependentkarmarkarcondition
AT sunildmaharaj radiatingstarwithatimedependentkarmarkarcondition
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