Conformally de Sitter space from anisotropic space-like D3-brane of type IIB string theory
Abstract
We construct a four-dimensional de Sitter space up to a conformal transformation by compactifying the anisotropic SD3-brane solution of type IIB string theory on a six-dimensional product space of the form H5×S1, where H5 is a five-dimensional hyperbolic space and S1 is a circle. The radius of the hyperbolic space is chosen to be constant. The radius of the circle and the dilaton in four dimensions are time dependent and not constant in general. By different choices of parameters characterizing the SD3-brane solution, either the dilaton or the radius of the circle can be made constant but not both. The form field is also nonvanishing in general, but it can be made to vanish without affecting the solution. This construction might be useful for a better understanding of dS/CFT correspondence as well as for cosmology.
- Publication:
-
Physical Review D
- Pub Date:
- May 2014
- DOI:
- 10.1103/PhysRevD.89.104044
- arXiv:
- arXiv:1402.2912
- Bibcode:
- 2014PhRvD..89j4044R
- Keywords:
-
- 04.60.Cf;
- 98.80.-k;
- Gravitational aspects of string theory;
- Cosmology;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 8 pages, no figures, v2: one para added for more clarification, 2 refs added, version to appear in Phys. Rev. D