Modeling self-bound binary compact object with a slow rotation effect and effect of electric field gradient on the mass-radius limit and moment of inertia
Maurya S.K. Errehymy A. Singh K.N. Jasim M.K. Myrzakulov K. Umbetova Z.
November 2024Elsevier B.V.
Journal of High Energy Astrophysics
2024#4445 - 59 pp.
In this paper, we investigate the effects of electric field gradients on the secondary component of GW190814 and other binary compact objects. Using general relativistic equations, we derive a model with three conditions and analyze its metric potentials, electric charge, energy density, stresses, and anisotropy parameter. The metric potentials in our analysis match the Schwarzschild exterior at the stellar surface, exhibiting smooth behavior without any central singularity. The electric charge increases from zero at the core to a maximum at the surface, indicating an outward electric force. The energy density, radial and tangential pressures, and anisotropy all demonstrate well-behaved trends. The model is found stable based on the Harrison-Zeldovich-Novikov criteria, adiabatic index, and causality. Investigating the electric charge influence, we find increased charge leads to decreasing pressures and lower central adiabatic index, suggesting the need to optimize charge for long-term stability. The analysis of mass-radius ratio and moment of inertia-mass demonstrates the models ability to capture the equation of state (EOS) stiffness. Finally, from the M−R and I−M curves we have shown that the mass obtained for the slowly rotating star is higher than the non-rotating case due to the contribution from rotational energy [Formula Presented] IΩ2 for all values of E0. It is very surprising to find that the electric field per radial distance i.e. E/r=E0 is maximum at a particular mass for a chosen radius, specifically for r (km), MNR(M⊙), and E0max×10−4 (/km4). The electric field per unit radius also influences the EOS significantly with overall form Pr=aρ−bρ2−c for all a,b,c>0. This means that the EOS contains quark matter, dark energy, and exotic matters.
Compact stars , Electric charge , EOS, neutron star , Exact solutions
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Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa, 616, Oman
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
Department of Physics, National Defence Academy, Khadakwasla, Pune, 411023, India
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematical and Physical Sciences
Astrophysics Research Centre
Department of Physics
Department of General and Theoretical Physics
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