Two-fluid stellar objects in General Relativity: the covariant formulation

Abstract

We apply the 1+1+2 covariant approach to describe a general static and spherically symmetric relativistic stellar object which contains two interacting fluids. We then use the 1+1+2 equations to derive the corresponding Tolman-Oppenheimer-Volkoff (TOV) equations in covariant form in the isotropic, non-interacting case. These equations are used to obtain new exact solutions by means of direct resolution and reconstruction techniques. Finally, we show that the generating theorem known for the single fluid case can also be used to obtain two-fluid solutions from single fluid ones.

19 pages, 14 figures

References in corpus (6)

• A covariant approach for perturbations of rotationally symmetric spacetimes
• Too massive neutron stars: The role of dark matter?
• Dark compact objects: an extensive overview
• Equilibrium Structure and Radial Oscillations of Dark Matter Admixed Neutron Stars
• Solution generating theorems for the TOV equation
• A Geometrical Approach to Strong Gravitational Lensing in f(R) Gravity

Cited by in corpus (8)

• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• Dark Matter or Regular Matter in Neutron Stars? How to tell the difference from the coalescence of compact objects
• Radial Mode Stability of Two-Fluid Neutron Stars
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Relativistic cosmology and intrinsic spin of matter: Results and theorems in Einstein-Cartan theory
• On anisotropic two-fluid stellar objects in General Relativity
• Junction conditions for LRS spacetimes in the $1+1+2$ covariant formalism
• Some exact relativistic star solutions in $f(R)$ gravity