Study of stable dark energy stars in Hořava–Lifshitz gravity

Abstract We study the structure and basic physical properties of non-rotating dark energy stars in Hořava–Lifshitz (HL) gravity. The interior of proposed stellar structure is made of isotropic matter obeys extended Chaplygin gas EoS. The structure equations representing the state of hydrostatic equi...

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Main Authors: Krishna Pada Das, Ujjal Debnath
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14059-3
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author Krishna Pada Das
Ujjal Debnath
author_facet Krishna Pada Das
Ujjal Debnath
author_sort Krishna Pada Das
collection DOAJ
description Abstract We study the structure and basic physical properties of non-rotating dark energy stars in Hořava–Lifshitz (HL) gravity. The interior of proposed 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 $$\omega $$ ω , whereas for $$\omega \rightarrow \infty $$ ω → ∞ HL coincide with GR. As a result, we find that necessary features of our stellar structure are significantly affected by $$\omega $$ 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 heavier 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.
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spelling doaj-art-ee34a373729c4248909fd959d68432a52025-08-20T02:41:33ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-03-0185311710.1140/epjc/s10052-025-14059-3Study of stable dark energy stars in Hořava–Lifshitz gravityKrishna Pada Das0Ujjal Debnath1Department of Mathematics, Indian Institute of Engineering Science and TechnologyDepartment of Mathematics, Indian Institute of Engineering Science and TechnologyAbstract We study the structure and basic physical properties of non-rotating dark energy stars in Hořava–Lifshitz (HL) gravity. The interior of proposed 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 $$\omega $$ ω , whereas for $$\omega \rightarrow \infty $$ ω → ∞ HL coincide with GR. As a result, we find that necessary features of our stellar structure are significantly affected by $$\omega $$ 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 heavier 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.https://doi.org/10.1140/epjc/s10052-025-14059-3
spellingShingle Krishna Pada Das
Ujjal Debnath
Study of stable dark energy stars in Hořava–Lifshitz gravity
European Physical Journal C: Particles and Fields
title Study of stable dark energy stars in Hořava–Lifshitz gravity
title_full Study of stable dark energy stars in Hořava–Lifshitz gravity
title_fullStr Study of stable dark energy stars in Hořava–Lifshitz gravity
title_full_unstemmed Study of stable dark energy stars in Hořava–Lifshitz gravity
title_short Study of stable dark energy stars in Hořava–Lifshitz gravity
title_sort study of stable dark energy stars in horava lifshitz gravity
url https://doi.org/10.1140/epjc/s10052-025-14059-3
work_keys_str_mv AT krishnapadadas studyofstabledarkenergystarsinhoravalifshitzgravity
AT ujjaldebnath studyofstabledarkenergystarsinhoravalifshitzgravity