Entropy (Aug 2021)

Anisotropic Strange Star in 5<i>D</i> Einstein-Gauss-Bonnet Gravity

  • Mahmood Khalid Jasim,
  • Sunil Kumar Maurya,
  • Ksh. Newton Singh,
  • Riju Nag

DOI
https://doi.org/10.3390/e23081015
Journal volume & issue
Vol. 23, no. 8
p. 1015

Abstract

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In this paper, we investigated a new anisotropic solution for the strange star model in the context of 5D Einstein-Gauss-Bonnet (EGB) gravity. For this purpose, we used a linear equation of state (EOS), in particular pr=βρ+γ, (where β and γ are constants) together with a well-behaved ansatz for gravitational potential, corresponding to a radial component of spacetime. In this way, we found the other gravitational potential as well as main thermodynamical variables, such as pressures (both radial and tangential) with energy density. The constant parameters of the anisotropic solution were obtained by matching a well-known Boulware-Deser solution at the boundary. The physical viability of the strange star model was also tested in order to describe the realistic models. Moreover, we studied the hydrostatic equilibrium of the stellar system by using a modified TOV equation and the dynamical stability through the critical value of the radial adiabatic index. The mass-radius relationship was also established for determining the compactness and surface redshift of the model, which increases with the Gauss-Bonnet coupling constant α but does not cross the Buchdahal limit.

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