All static spherically symmetric anisotropic solutions for general relativistic polytropes

G. Abellán, P. Bargueño, E. Contreras, E. Fuenmayor

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In this work, we develop an algorithm to construct all static spherically symmetric anisotropic solutions for general relativistic polytropes. To this end, we follow the strategy presented by K. Lake in Phys. Rev. D 67 (2003) 104015 to obtain all static spherically symmetric perfect fluid solutions and then extended by L. Herrera el al., Phys. Rev. D 77 (2008) 027502 to the interesting case of locally anisotropic fluids. The formalism here developed requires the knowledge of only one function to generate all possible solutions. To illustrate the method, we obtain formal expressions for the generating functions of known polytopic solutions. Additionally, we obtain the generating function for both the conformally flat and class 1 polytropes.

Original languageEnglish
Article number2050082
JournalInternational Journal of Modern Physics D
Volume29
Issue number12
DOIs
StatePublished - 1 Sep 2020

Keywords

  • Anisotropic solutions
  • polytropic equation of state
  • stellar interior

Fingerprint

Dive into the research topics of 'All static spherically symmetric anisotropic solutions for general relativistic polytropes'. Together they form a unique fingerprint.

Cite this