Study of Stable Dark Energy Stars in Hořava-Lifshitz gravity

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Auteurs principaux: Das, Krishna Pada, Debnath, Ujjal
Format: Preprint
Publié: 2024
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author Das, Krishna Pada
Debnath, Ujjal
author_facet Das, Krishna Pada
Debnath, Ujjal
contents We study the structure and basic physical properties of non-rotating dark energy stars in Ho$\Check{\text{r}}$ava-Lifshitz (HL) gravity. The interior of propsed stellar structure is made of isotropic matter obeys extended Chaplygin gas EoS. The structure equations representing the state of hydrostatic equilibrium i.e., generalize TOV equation in HL gravity is numerically solved by using chosen realistic EoS. Next, we investigate the deviation of physical features of dark energy stars in HL gravity as compared with general relativity (GR). Such investigation is depicted by varying a parameter $ω$, whereas for $ω\rightarrow \infty$ HL coincide with GR. As a results, we find that necessary features of our stellar structure are significantly affected by $ω$ in HL gravity specifically on the estimation of the maximum mass and corresponding predicted radius of the star. In conclusion, we can predict the existence of heavior massive dark energy stars in the context of HL gravity as compared with GR with not collapsing into a black hole. Moreover, we investigate the stability of our proposed stellar system. By integrating the modified perturbations equations in support of suitable boundary conditions at the center and the surface of the stellar object, we evaluate the frequencies and eigenfunctions corresponding to six lowest excited modes. Finally, we find that physically viable and stable dark energy stars can be successfully discussed in HL gravity by this study.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02716
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Study of Stable Dark Energy Stars in Hořava-Lifshitz gravity
Das, Krishna Pada
Debnath, Ujjal
General Relativity and Quantum Cosmology
We study the structure and basic physical properties of non-rotating dark energy stars in Ho$\Check{\text{r}}$ava-Lifshitz (HL) gravity. The interior of propsed stellar structure is made of isotropic matter obeys extended Chaplygin gas EoS. The structure equations representing the state of hydrostatic equilibrium i.e., generalize TOV equation in HL gravity is numerically solved by using chosen realistic EoS. Next, we investigate the deviation of physical features of dark energy stars in HL gravity as compared with general relativity (GR). Such investigation is depicted by varying a parameter $ω$, whereas for $ω\rightarrow \infty$ HL coincide with GR. As a results, we find that necessary features of our stellar structure are significantly affected by $ω$ in HL gravity specifically on the estimation of the maximum mass and corresponding predicted radius of the star. In conclusion, we can predict the existence of heavior massive dark energy stars in the context of HL gravity as compared with GR with not collapsing into a black hole. Moreover, we investigate the stability of our proposed stellar system. By integrating the modified perturbations equations in support of suitable boundary conditions at the center and the surface of the stellar object, we evaluate the frequencies and eigenfunctions corresponding to six lowest excited modes. Finally, we find that physically viable and stable dark energy stars can be successfully discussed in HL gravity by this study.
title Study of Stable Dark Energy Stars in Hořava-Lifshitz gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2408.02716