Solutions on a brane in a bulk spacetime with Kalb–Ramond field

Journal Article · Fri Apr 15 04:00:00 EDT 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.01.023· OSTI ID:22560314

Chakraborty, Sumanta; SenGupta, Soumitra

Effective gravitational field equations on a brane have been derived, when the bulk spacetime is endowed with the second rank antisymmetric Kalb–Ramond field. Since both the graviton and the Kalb–Ramond field are closed string excitations, they can propagate in the bulk. After deriving the effective gravitational field equations on the brane, we solve them for a static spherically symmetric solution. It turns out that the solution so obtained represents a black hole or naked singularity depending on the parameter space of the model. The stability of this model is also discussed. Cosmological solutions to the gravitational field equations have been obtained, where the Kalb–Ramond field is found to behave as normal pressure free matter. For certain specific choices of the parameters in the cosmological solution, the solution exhibits a transition in the behaviour of the scale factor and hence a transition in the expansion history of the universe. The possibility of accelerated expansion of the universe in this scenario is also discussed.

• OSTI ID: 22560314
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Journal Issue: Complete Vol. 367; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
BLACK HOLES
COSMOLOGY
EXCITATION
FIELD EQUATIONS
GRAVITATIONAL FIELDS
GRAVITONS
MATHEMATICAL SOLUTIONS
SINGULARITY
SPACE-TIME
STABILITY
STRING MODELS
SYMMETRY
UNIVERSE