English

Anisotropic fluid inside a relativistic star

General Relativity and Quantum Cosmology 2015-05-27 v2 Solar and Stellar Astrophysics

Abstract

An anisotropic fluid with variable energy density and negative pressure is proposed, both outside and inside stars. The gravitational field is constant everywhere in free space (if we neglect the local contributions) and its value is of the order of g=108cm/s2g = 10^{-8} cm/s^{2}, in accordance with MOND model. With ρ, p1/r\rho,~ p \propto 1/r, the acceleration is also constant inside stars but the value is different from one star to another and depends on their mass MM and radius RR. In spite of the fact that the spacetime is of Rindler type and curved even far from a local mass, the active gravitational energy on the horizon is 1/4g-1/4g, as for the flat Rindler space, excepting the negative sign.

Keywords

Cite

@article{arxiv.1101.2980,
  title  = {Anisotropic fluid inside a relativistic star},
  author = {Hristu Culetu},
  journal= {arXiv preprint arXiv:1101.2980},
  year   = {2015}
}

Comments

9 pages, refs added, new chapter added, no figures

R2 v1 2026-06-21T17:12:33.239Z