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

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 $(M-{\rho }_c)$ 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 $\alpha$. Furthermore, the stability of stars is determined by the condition $\frac{dM}{d{\rho }_c}>0$. We observe that consideration of the EMSG has specific contributions to the structure of QSs.

8 pages, 5 figures, version accepted in Annals of Physics

References in corpus (9)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Energy-Momentum Squared Gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Non-radial Oscillation Modes of Compact Stars with a Crust
• Anisotropic quark stars in $R^2$ gravity
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• Low redshift constraints on energy-momentum-powered gravity models
• Structure of magnetized strange quark star in perturbative QCD

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• Cosmological models in scale-independent energy-momentum squared gravity
• Gravitationally induced matter creation in scalar-tensor $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Relativistic structure of charged quark stars in energy-momentum squared gravity
• Weak field and slow motion limits in energy-momentum powered gravity
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Cosmological perturbations in the energy-momentum squared gravity theory: constraints from gravitational wave standard sirens and redshift space distortions