Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition

We model the light HESS J1731-347 compact object (of known stellar mass and radius) within Einstein’s General Relativity, imposing the Karmarkar condition in gravity for anisotropic stars. The three free parameters of the analytic solution are determined by imposing the matching conditions at the su...

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Main Author: Grigoris Panotopoulos
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/5/146
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author Grigoris Panotopoulos
author_facet Grigoris Panotopoulos
author_sort Grigoris Panotopoulos
collection DOAJ
description We model the light HESS J1731-347 compact object (of known stellar mass and radius) within Einstein’s General Relativity, imposing the Karmarkar condition in gravity for anisotropic stars. The three free parameters of the analytic solution are determined by imposing the matching conditions at the surface of the star for objects of known stellar mass and radius. Finally, using well-established criteria, it is shown that the solution is compatible with all requirements for well-behaved and realistic solutions. Furthermore, we study the radial oscillation modes, and we compare them to the ones corresponding to an isotropic star modeled by the Tolman IV exact analytic solution obtained a long time ago. A comparison between the large frequency separations is made as well.
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spelling doaj-art-7e40566f655a40bbaf4d35f966cc35e32025-08-20T03:12:09ZengMDPI AGUniverse2218-19972025-05-0111514610.3390/universe11050146Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar ConditionGrigoris Panotopoulos0Departamento de Ciencias Físicas, Universidad de la Frontera, Casilla 54-D, Temuco 4811186, ChileWe model the light HESS J1731-347 compact object (of known stellar mass and radius) within Einstein’s General Relativity, imposing the Karmarkar condition in gravity for anisotropic stars. The three free parameters of the analytic solution are determined by imposing the matching conditions at the surface of the star for objects of known stellar mass and radius. Finally, using well-established criteria, it is shown that the solution is compatible with all requirements for well-behaved and realistic solutions. Furthermore, we study the radial oscillation modes, and we compare them to the ones corresponding to an isotropic star modeled by the Tolman IV exact analytic solution obtained a long time ago. A comparison between the large frequency separations is made as well.https://www.mdpi.com/2218-1997/11/5/146compact objectsexact solutionsasteroseismologyradial oscillations
spellingShingle Grigoris Panotopoulos
Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition
Universe
compact objects
exact solutions
asteroseismology
radial oscillations
title Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition
title_full Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition
title_fullStr Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition
title_full_unstemmed Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition
title_short Radial Oscillations of the HESS J1731-347 Compact Object Imposing the Karmarkar Condition
title_sort radial oscillations of the hess j1731 347 compact object imposing the karmarkar condition
topic compact objects
exact solutions
asteroseismology
radial oscillations
url https://www.mdpi.com/2218-1997/11/5/146
work_keys_str_mv AT grigorispanotopoulos radialoscillationsofthehessj1731347compactobjectimposingthekarmarkarcondition