Remarks on inhomogeneous anisotropic cosmology
Abstract
Recently a new no-global-recollapse argument was given for some inhomogeneous and anisotropic cosmologies that utilizes surface deformation by the mean curvature flow. In this paper we discuss important properties of the mean curvature flow of spacelike surfaces in Lorentzian manifolds. We show that singularities may form during cosmic evolution, and the theorems forbidding the global recollapse lose their validity. The time evolution of the spatial scalar curvature that may kinematically prevent the recollapse is determined in normal coordinates, which shows the impact of inhomogeneities explicitly. Our analysis indicates a caveat in numerical solutions that give rise to inflation.
- Publication:
-
Physical Review D
- Pub Date:
- August 2016
- DOI:
- 10.1103/PhysRevD.94.043509
- arXiv:
- arXiv:1603.03443
- Bibcode:
- 2016PhRvD..94d3509K
- Keywords:
-
- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- High Energy Physics - Theory
- E-Print:
- 6 pages, 2 figures, v4: comments and a figure added, title is modified, to appear in Phys. Rev. D