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arXiv · 2206.10371

The Mass-Radius relation for Quark Stars in Energy-Momentum Squared Gravity

Takol Tangphati·Indrani Karar·Ayan Banerjee·Anirudh Pradhan
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Abstract

We study the structure of quark stars (QSs) adopting homogeneously confined matter inside the star with a 3-flavor neutral charge and a fixed strange quark mass $m_s$. We explore the internal structure, and the physical properties of specific classes of QSs in the recently proposed energy-momentum squared gravity (EMSG). Also, we obtain the mass-radius $(M-R)$ and mass-central energy density $(M-ρ_c)$ relations for QS using the QCD motivated EoS. The maximum mass for QSs in EMSG is investigated depending on the presence and absence of the free parameter $α$. Furthermore, the stability of stars is determined by the condition $\frac{d M}{d ρ_c}>0$. We observe that consideration of the EMSG has specific contributions to the structure of QSs.

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Takol Tangphati, Indrani Karar, Ayan Banerjee, Anirudh Pradhan. 2022-10-16. The Mass-Radius relation for Quark Stars in Energy-Momentum Squared Gravity. https://doi.org/10.1016/j.aop.2022.169149

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