Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
- 1. Shahid Beheshti University, Department of Physics, Tehran (Iran, Islamic Republic of)
- 2. Universidade da Beira Interior, Centro de Matematica e Aplicacoes (CMA-UBI), Covilha (Portugal)
- 3. Universidade da Beira Interior, Departamento de Fisica, Covilha (Portugal)
- 4. Universidad Andres Bello, Santiago (Chile)
- 5. Centro de Estudios Cientficos (CECs), Valdivia (Chile)
Description
We consider the gravitational collapse of a spherically symmetric homogeneous matter distribution consisting of a Weyssenhoff fluid in the presence of a negative cosmological constant. Our aim is to investigate the effects of torsion and spin averaged terms on the final outcome of the collapse. For a specific interior space-time setup, namely the homogeneous and isotropic FLRW metric, we obtain two classes of solutions to the field equations where depending on the relation between spin source parameters, (i) the collapse procedure culminates in a space-time singularity or (ii) it is replaced by a non-singular bounce. We show that, under certain conditions, for a specific subset of the former solutions, the formation of trapped surfaces is prevented and thus the resulted singularity could be naked. The curvature singularity that forms could be gravitationally strong in the sense of Tipler. Our numerical analysis for the latter solutions shows that the collapsing dynamical process experiences four phases, so that two of which occur at the pre-bounce and the other two at post-bounce regimes. We further observe that there can be found a minimum radius for the apparent horizon curve, such that the main outcome of which is that there exists an upper bound for the size of the collapsing body, below which no horizon forms throughout the whole scenario. (orig.)
Availability note (English)
Available from: http://dx.doi.org/10.1140/epjc/s10052-014-3154-2Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. C
- Journal Volume
- 74
- Journal Issue
- 11
- Journal Page Range
- p. 1-19
- ISSN
- 1434-6044
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 46017935
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
- Descriptors DEI
- ANALYTICAL SOLUTION; COSMOLOGICAL CONSTANT; FIELD EQUATIONS; FLUIDS; GRAVITATIONAL COLLAPSE; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; METRICS; SPACE-TIME; SPIN ORIENTATION; TRAPPING
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; MATHEMATICAL SOLUTIONS; ORIENTATION; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY