Series solutions for a static scalar potential in a Salam-Sezgin Supergravitational hybrid braneworld

Details Series solutions for a static scalar potential in a Salam-Sezgin Supergravitational hybrid braneworld Series solutions for a static scalar potential in a Salam-Sezgin Supergravitational hybrid braneworld

2005-12-05

arxiv.org/abs/gr-qc/0512024v1

Gen.Rel.Grav.37:1629-1634,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures

Scientific paper

10.1007/s10714-005-0140-x

The static potential for a massless scalar field shares the essential features of the scalar gravitational mode in a tensorial perturbation analysis about the background solution. Using the fluxbrane construction of [8] we calculate the lowest order of the static potential of a massless scalar field on a thin brane using series solutions to the scalar field's Klein Gordon equation and we find that it has the same form as Newton's Law of Gravity. We claim our method will in general provide a quick and useful check that one may use to see if their model will recover Newton's Law to lowest order on the brane.

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