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A new class of solutions to Einstein's classical field equations of general relativity is presented. The solutions describe a non-rotating, spherically symmetric, compact self gravitating object, residing in a static electro-vacuum space…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Petri

In this paper, we develop a new class of models for a compact star with anisotropic stresses inside the matter distribution. By assuming a linear equation of state for the anisotropic matter composition of the star we solve the Einstein…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Shyam Das , Saibal Ray , Maxim Khlopov , K. K. Nandi , Bikram Keshari Parida

A new class of solutions for Einstein's field equations representing a static spherically symmetric anisotropic distribution of matter is obtained on the background of pseudo-spheroidal spacetime. We have prescribed the bounds of the model…

General Relativity and Quantum Cosmology · Physics 2015-12-09 V. O. Thomas , D. M. Pandya

We have provided here a new class of interior solutions for anisotropic stars admitting conformal motion in higher dimensional noncommutative spacetime. The Einstein fields equations are solved by choosing a particular density distribution…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Piyali Bhar , Farook Rahaman , Saibal Ray , Vikram Chatterjee

This paper investigates the existence and properties of anisotropic strange quark stars in the context of massive Brans-Dicke theory. The field equations are constructed in Jordan frame by assuming a suitable potential function with MIT bag…

General Relativity and Quantum Cosmology · Physics 2020-07-15 M. Sharif , Amal Majid

We investigate a simplified model for the strange stars in the framework of Finslerian spacetime geometry, composed of charged fluid. It is considered that the fluid consisting of three flavor quarks including a small amount of…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Sourav Roy Chowdhury , Debabrata Deb , Saibal Ray , Farook Rahaman , B. K. Guha

We have presented a new anisotropic solution of Einstein's field equations for compact star models. The Einstein's field equations are solved by using the class one condition \cite{1}. After that we constructed the physically valid…

General Relativity and Quantum Cosmology · Physics 2016-08-01 S. K. Maurya , Smitha T. T. , Y. K. Gupta , Farook Rahaman

In this work, we report a new exact solution of Einstein's field equations for static spherically symmetric anisotropic matter distributions on the background of paraboloidal spacetime by assuming a quadratic equation of state. The model…

General Relativity and Quantum Cosmology · Physics 2025-08-25 B S Ratanpal , Bhavesh Suthar

We propose a relativistic model for quintessence stars with the combination of an anisotropic pressure corresponding to normal matter and a quintessence dark energy having a characteristic parameter {\omega}q such that -1 <{\omega}q < -…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Mehedi Kalam , Farook Rahaman , Sajahan Molla , Sk. Monowar Hossein

In this work some families of relativistic anisotropic charged fluid spheres have been obtained by solving Einstein-Maxwell field equations with preferred form of one of the metric potentials, a suitable forms of electric charge…

General Relativity and Quantum Cosmology · Physics 2014-09-02 Mohammad Hassan Murad , Saba Fatema

Utilizing an ansatz developed by Maurya and co-workers we present a class of exact solutions of the Einstein-Maxwell field equations describing a spherically symmetric compact object. A detailed physical analysis of these solutions in terms…

General Relativity and Quantum Cosmology · Physics 2017-08-02 S. K. Maurya , M. Govender

In the present paper, authors study the strange stars with the MIT Bag EoS admitting Buchdahl symmetry (non-singular and physically viable metric potential) in the both linear $f(Q)=aQ+b$ and non-linear $f(Q)=Q+aQ^b$ forms of modified…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Oleksii Sokoliuk , Sneha Pradhan , P. K. Sahoo , Alexander Baransky

In the present article, we have constructed static anisotropic compact star models of Einstein field equations for the spherical symmetric metric of embedding class one. By assuming the particular form of metric function $\nu$, We have…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Piyali Bhar , S. K. Maurya , Y. K. Gupta , Tuhina Manna

A family of solutions defining the interior of a static, spherically symmetric, compact anisotropic star is described by considering a new form of the equation of state (EOS). The analytic solution is derived by using the Finch and Skea…

General Relativity and Quantum Cosmology · Physics 2024-02-09 R. Sharma , B. S. Ratanpal , Rinkal Patel

This manuscript examines the compact stars in gravity $f (Q)$, where non-metricity $Q$ drives gravitational interactions. To achieve this goal, we consider a spherically symmetric spacetime with the anisotropic fluid distribution. In…

General Physics · Physics 2021-12-22 Sanjay Mandal , G. Mustafa , Zinnat Hassan , P. K. Sahoo

We obtain well behaved interior solutions describing hydrostatic equilibrium of anisotropic relativistic stars in scale-dependent gravity, where Newton's constant is allowed to vary with the radial coordinate throughout the star. Assuming…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

The recent theoretical advance known as the Minimal Geometric Deformation (MGD) method has initiated a renewed interest in investigating higher curvature gravitational effects in relativistic astrophysics. In this work, we model a strange…

General Relativity and Quantum Cosmology · Physics 2022-02-16 S. K. Maurya , Ksh. Newton Singh , M. Govender , Sudan Hansraj

We provide new exact solutions to the Einstein-Maxwell system of equations for matter configurations with anisotropy and charge. The spacetime is static and spherically symmetric. A quadratic equation of state is utilised for the matter…

General Relativity and Quantum Cosmology · Physics 2016-01-06 Sifiso A. Ngubelanga , Sunil D. Maharaj , Subharthi Ray

The aim of this paper is to study the formation of anisotropic compact stars in modified $f(R)$ theory of gravity, which is the generalization of the Einstein's gravity. To this end, we have used the solution of Krori and Barua to the…

General Physics · Physics 2016-05-04 M. Zubair , G. Abbas

This paper is devoted to studying anisotropic compact stellar structures by adopting embedding class-1 technique in the background of modified Gauss-Bonnet gravity. The unknown constants are evaluated by the matching of interior spacetime…

General Relativity and Quantum Cosmology · Physics 2020-10-28 M. Sharif , Amna Ramzan