On Brane Inflation Potentials and Black Hole Attractors

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages. Reference updated and minor changes added. Version to appear in Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271808012589

We propose a new potential in brane inflation theory, which is given by the arctangent of the square of the scalar field. Then we perform an explicit computation for inflationary quantities. This potential has many nice features. In the small field approximation, it reproduces the chaotic and MSSM potentials. It allows one, in the large field approximation, to implement the attractor mechanism for bulk black holes where the geometry on the brane is de Sitter. In particular, we show, up to some assumptions, that the Friedman equation can be reinterpreted as a Schwarzschild black hole attractor equation for its mass parameter.

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