Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: An algorithm

Abstract

We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing the model parameters in our formulation, we generate closed-form solutions which may be treated as anisotropic generalization of a large class of solutions describing isotropic fluid spheres. From the resultant solutions, a particular solution is taken up to show its physical acceptability. Making use of the current estimate of mass and radius of a known pulsar, the effects of anisotropic stress on the gross physical behaviour of a relativistic compact star is also highlighted.

To appear in Eur. Phys. J. C

References in corpus (1)

• All static spherically symmetric anisotropic solutions of Einstein's equations

Cited by in corpus (13)

• Anisotropic solutions by gravitational decoupling
• A new family of analytical anisotropic solutions by gravitational decoupling
• Anisotropic Tolman VII solution by gravitational decoupling
• An analytical anisotropic compact stellar model of embedding class I
• Linear and Riccati equations in generating functions for stellar models in general relativity
• On magnetized anisotropic stars
• Anisotropic compact star with a linear pressure-density relationship
• Compact stellar model in presence of pressure anisotropy in modified Finch Skea spacetime
• New bound of the mass-to-radius ratio for electrically charged stars
• Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Anisotropic Approach: Compact star as generalized Model
• Generating anisotropic models for relativistic stellar objects