Study of Stable Dark Energy Stars in Ho\v{r}ava-Lifshitz gravity

TL;DR

This paper explores the structure, stability, and physical properties of dark energy stars within Hořava-Lifshitz gravity, revealing significant deviations from general relativity and predicting the existence of stable, massive dark energy stars that do not collapse into black holes.

Contribution

It introduces a detailed model of dark energy stars in HL gravity using an extended Chaplygin gas EoS and analyzes their stability and physical features, highlighting differences from GR.

Findings

Maximum mass and radius are significantly affected by HL parameter ω.

Stable dark energy star configurations are possible in HL gravity.

Dark energy stars in HL gravity can be more massive and stable than in GR.

Abstract

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 $\omega$, whereas for $\omega\rightarrow \infty$ HL coincide with GR. As a results, we find that necessary features of our stellar structure are significantly affected by $\omega$ 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.