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Study of charged stellar models in $f (𝒢)$ gravity with Tolman–Kuchowicz space–time

Tayyaba Naz

National University of Computer and Emerging Sciences, Lahore Campus, Pakistan

E-mail Address: tayyaba.naz@nu.edu.pk

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and

M. Farasat Shamir

http://orcid.org/0000-0002-3310-8806

National University of Computer and Emerging Sciences, Lahore Campus, Pakistan

E-mail Address: farasat.shamir@nu.edu.pk

Corresponding author.

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https://doi.org/10.1142/S0217751X20500402Cited by:23 (Source: Crossref)

Abstract

In the context of modified $f (𝒢) = α 𝒢^{n} + β 𝒢 ln (𝒢)$ gravity model, the current study highlights the effect of electric charge for static spherically symmetric stellar models in presence of anisotropic matter distribution. For this purpose, we specifically consider the metric potentials of Tolman–Kuchowicz space–time, which are singularity free and satisfy the stability criteria. The possible existence of charge and a strong electric field, inside the stars is due to the higher values of energy density of matter, pressure distribution and gravitational fields. For the solution of Einstein–Maxwell field equations, the simplified phenomenological MIT bag equation of state, i.e. $p_{r} = \frac{1}{3} (ρ - 4 B g)$ and a specific form of electrical charge distribution $q (r) = Q {(\frac{r}{R})}^{3} = Ψ r^{3}$ are to be considered. Further, to derive the values of unknown parameters of the stellar objects, we match interior Tolman–Kuchowicz space–time to exterior Reissner–Nordström metric, at the surface of stellar system. In addition to this, for the physical validity and stability of our suggested model, we conduct several physical tests such as effective energy density, effective pressures, energy conditions, stability against equilibrium of the forces, mass-radius relation, surface redshift, Herrera’s cracking concept and electric charge for well-known compact stellar objects viz., SAX J 1808.4-3658 and PSR 1937+21. It is observed that all these tests follow the physically accepted pattern and the influence of charge leads to more stable and viable stellar structures of compact objects in $f (𝒢)$ gravity.

Keywords:

PACS: 04.50.Kd, 98.80.-k, 98.80.Es

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