Gravitational collapse in nonminimally coupled gravity: Finite density singularities and the breaking of the nohair theorem
Abstract
In this paper we study the dynamics of gravitational collapse of a homogeneous dust sphere in a model exhibiting a linear nonminimal coupling between matter and curvature. The evolution of the scale factor and the matter density is obtained for different choices of Lagrangian density of matter, highlighting the direct physical relevance of the latter in this theory. Following a discussion of the junction conditions and boundary terms in the action functional, the matching with the outer metric and event horizon are analyzed. We find that a distinct phenomenology arises when compared with standard results for the OppenheimerSnyder collapse, namely the possibility of finitedensity black holes and the breaking of the nohair theorem, due to a dependence of the end state of a black hole on the initial radius of the spherical body.
 Publication:

Physical Review D
 Pub Date:
 November 2012
 DOI:
 10.1103/PhysRevD.86.103007
 arXiv:
 arXiv:1207.6258
 Bibcode:
 2012PhRvD..86j3007P
 Keywords:

 97.60.Lf;
 04.20.Fy;
 98.35.Ce;
 Black holes;
 Canonical formalism Lagrangians and variational principles;
 Mass and mass distribution;
 General Relativity and Quantum Cosmology;
 Astrophysics  Solar and Stellar Astrophysics
 EPrint:
 12 pages, 3 figures