A new well behaved class of charge analogue of Adler's relativistic exact solution

TL;DR

This paper introduces a new class of well-behaved charged fluid solutions in Einstein-Maxwell theory, modeling superdense stars and matching observed pulsar properties with theoretical predictions.

Contribution

It presents a novel parametric solution for charged superdense stars, enabling accurate modeling of pulsar masses, radii, and moments of inertia within general relativity.

Findings

Mass of Crab pulsar estimated at 1.401 solar masses

Model predicts moments of inertia for specific pulsars

Maximum mass of superdense object is 2.802 solar masses

Abstract

The paper presents a new class of parametric interior solutions of Einstein-Maxwell field equations in general relativity for a static spherically symmetric distribution of a charged perfect fluid with a particular form of electric field intensity. This solution gives us wide range of parameter, K, for which the solution is well behaved hence, suitable for modeling of superdense star. For this solution the gravitational mass of a superdense object is maximized with all degree of suitability by assuming the surface density of the star equal to the normal nuclear density 2.5E17 kg/m3. By this model we obtain the mass of the Crab pulsar 1.401 Solar mass and the radius 12.98 km constraining the moment of inertia parameter greater than 1.61 for the conservative estimate of Crab nebula mass 2 Solar mass and 2.0156 Solar mass with radius 14.07 km constraining the moment of inertia parameter greater than 3.04 for the newest estimate of Crab nebula mass 4.6 Solar mass which are quite well in agreement with the possible values of mass and radius of Crab pulsar.Besides this, our model yields the moments of inertia for PSR J0737-3039A and PSR J0737-3039B are 1.4624E38 kgm2 and 1.2689E38 kgm2 respectively. It has been observed that under well behaved conditions this class of parametric solution gives us the maximum gravitational mass of causal superdense object 2.8020 Solar mass with radius 14.49 km, surface redshift 0.4319, charge 4.67E20 C, and central density 2.68 times nuclear density.