Abstract
In present article a new model of compact star is obtained in the framework of general relativity which does not suffer from any kinds of singularity. We assume that the underlying fluid distribution is anisotropic in nature along with a new form for the metric potential e^{lambda } which is physically reasonable. Though the model parameters depend on four constants a,,b,,A and B but we have shown that the solutions depend on two free constants since these four constants are correlated to one another. Our proposed model of anisotropic compact star obeys all the necessary physical requirements which have been analyzed with the help of the graphical representation where n lies in the range of -,200le n le 200. We have shown that the model satisfies all the energy conditions as well as the causality condition. The model is potentially stable and also satisfy Harrison–Zeldovich–Novikov’s stability condition.
Highlights
A well known fact is that the compact objects such as white dwarfs, neutron stars or black hole are formed at the end point of the gravitational collapse of a star when most of their nuclear fuel has been consumed
White dwarfs are formed from light stars with masses M < 4M and radius is ∼ 10−2 R it has shown that the maximum allowed mass for white dwarfs is around 1.4M . [1] (M, R are the solar mass and solar radius respectively)
A general scheme for compact astrophysical objects which are not composed of neutron matter, but where, given the conditions of very high density in their interiors are presented by Alcock et al [24] and Haensel et al [25]
Summary
A well known fact is that the compact objects such as white dwarfs, neutron stars or black hole are formed at the end point of the gravitational collapse of a star when most of their nuclear fuel has been consumed. Some anisotropic compact star models are obtained which admit conformal motion. [15], a new class of interior solutions for anisotropic stars are obtained by choosing a particular density distribution function of Lorentzian type as provided by Nazari and Mehdipour [16,17] which admits conformal motion in higher dimensional noncommutative spacetime. A general scheme for compact astrophysical objects which are not composed of neutron matter, but where, given the conditions of very high density in their interiors are presented by Alcock et al [24] and Haensel et al [25]. The derivation of the Karmarkar Both charged and uncharged star model of embedding classI spacetime extensively study in the Refs. 3 we have given a short discussion about embedding class-I spacetime and obtained a new model.
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