Radial pulsation of a compact object in d dimensions

José D.V. Arbañil, Manuel Malheiro

Research output: Contribution to journalConference articlepeer-review

Abstract

The influence of the extra dimensions on the equilibrium and radial pulsation of a compact object is investigated. For such purpose, we solve the stellar structure equations and radial pulsation equations, both modified from their original version to include the extra dimensions (d ≥ 4) taking into account that spacetime outside the object is depicted by a Schwarzschild-Tangherlini metric. In addition, we consider that the pressure and the energy density are connected by a linear relation. Some properties of compact objects are analyzed, such as mass and period of the fundamental mode and their dependencies with the spacetime dimensions. We found that the maximum mass marks the begining of the instability, indicating that in a sequence of equilibrium configurations, the regions constitute by stable and unstable compact objects are distinguished by the relations and, respectively.

Original languageEnglish
Article number012003
JournalJournal of Physics: Conference Series
Volume1558
Issue number1
DOIs
StatePublished - 26 Jun 2020
Event17th Meeting of Physics - Lima, Peru
Duration: 15 Aug 201817 Aug 2018

Bibliographical note

Funding Information:
We thank Fundac¸ão de Amparo à Pesquisa do Estado de São Paulo-FAPESP, under the thematic project 2013/26258-4, for the grant.

Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

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