In this paper, we have obtained a new family of interior solutions of the Einstein–Maxwell field equations in general relativity for static, spherically symmetric distribution of charged fluid. The electric density is assumed to be [Formula: see text] where [Formula: see text] is a positive constant. The solution is well behaved for a wide range of [Formula: see text] hence, it is suitable for modeling a superdense star. The surface density is assumed to be [Formula: see text], for the validation of the solution set present, a comparison has also been made with the stars EXO 1785-248, SMC X-1, Her X-1, 4U 1538-52. For these particular stars, the maximum value of surface redshift is obtained to be [Formula: see text] for the star EXO 1785-248 and the minimum value is obtained as [Formula: see text] for the star Her X-1. We subject our solution to rigorous physical viability tests. In the absence of charge, we obtain the regular and well-behaved sixth model of Durgapal.
Modified theories of Gravity have gained increased attention over the last few years due to combined motivation coming from various branches of physics. Among various alternatives to the Einstein theory of gravity, especially f (R) theories of gravity have received more importance due to number of interesting results in cosmology and astrophysics. Pandey [6] gave an f (R) theory of gravity to obtain comformally invariant gravitational waves in which field equations have the form given by (3). In this paper we have obtained a wave solution of f (R) theory of gravity in a special case of generalized Peres spacetime taken by Pandey [1] for n = 2. Some important features of the solution is discussed and is compared with the form of solution obtained by Pandey [1].
Over the last few years, among various alternatives to the Einstein theory of gravity, especially theories of gravity have received more importance due to number of interesting results in cosmology and astrophysics. Pandey [10] gave an theory of gravity to obtain conformally invariant gravitational waves in which field equations have the form given by (3). In this paper we have investigated Lyttleton Bondi Cosmological model in view of field equations of theory of gravity for Generalized Peres spacetime and finally a wave like solution is obtained.
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