The general relativistic double polytrope for anisotropic matter

Abstract

A general formalism recently proposed to study Newtonian polytropes for anisotropic fluids is here extended to the relativistic regime. Thus, it is assumed that a polytropic equation of state is satisfied by, both, the radial and the tangential pressures of the fluid. Doing so the generalized Lane--Emden equations are obtained and solved. Some specific models are obtained, and their physical properties are discussed.

8 pages, 7 figures

References in corpus (4)

• Conformally flat polytropes for anisotropic matter
• A Polytropic Model of Quark Stars
• Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state
• The double polytrope for anisotropic matter: Newtonian Case

Cited by in corpus (7)

• Charged Anisotropic Models with Complexity-free Condition
• Class I polytropes for anisotropic matter
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
• Double relativistic master polytrope for anisotropic matter
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory