Relativistic Compact Objects in Isotropic Coordinates

Abstract

We present a matrix method for obtaining new classes of exact solutions for Einstein's equations representing static perfect fluid spheres. By means of a matrix transformation, we reduce Einstein's equations to two independent Riccati type differential equations for which three classes of solutions are obtained. One class of the solutions corresponding to the linear barotropic type fluid with an equation of state $p=\gamma \rho$ is discussed in detail.

9 pages, no figures, accepted for publication in Pramana-Journal of Physics

References in corpus (9)

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• Photon Stars

Cited by in corpus (10)

• Quark star model with charged anisotropic matter
• Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state
• The covariant Tolman-Oppenheimer-Volkoff equations II: The anisotropic case
• The covariant Tolman-Oppenheimer-Volkoff equations I: The isotropic case
• Relativistic Polytropic Models of Charged Anisotropic Compact Object
• Radiation Fluid Stars in the Non-minimally Coupled $Y(R)F^2$ Gravity
• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Velocity and velocity bounds in static spherically symmetric metrics
• Integrability of Lie systems through Riccati equations
• Anisotropic Compact Star Model on Finch-Skea Spacetime