https://doi.org/10.1140/epjp/s13360-024-05785-w
Regular Article
Effect of rainbow function on radial oscillations and some other properties of Chaplygin dark star
Department of Mathematics, Indian Institute of Engineering Science and Technology, 711 103, Shibpur, Howrah, India
Received:
4
October
2024
Accepted:
28
October
2024
Published online:
12
November
2024
In the present article, we have imagined a hypothetical spherically symmetric stellar structure, made by an isotropic fluid satisfying dark energy equation of sate (EOS), named as dark energy star (DES), in the context of gravity’s rainbow. We adopted modified Chaplygin gas EOS with an extra parameter 
satisfying 
. In a recent literature Tudeshki et al. (Phys. Lett. B 848 (2024) 138333) investigated the same type stellar configuration, including the mass-radius relation for 
. However, we have investigated the effect of the rainbow function on such hypothetical DESs corresponding to 
. Mainly, we have concentrated on two features like, mass-radius relation and radial oscillations in the effect of rainbow function. After computing the values of maximum mass and corresponding radius of the star, we compared our results with GR and some chosen observed relativistic stellar candidates. Moreover, we have computed the frequencies and shown the behavior of corresponding Eigenfunctions for the six lowest excited modes in the variation of the rainbow function. As a final result, we have our proposed stellar structure is physically reasonable and may be placed in the ‘mass-gap’ region corresponding to some fixed values of model parameters.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
