Brane-World Black Hole Solutions via a Confining Potential

Heydari-Fard, M.
Razmi, H.
Sepangi, H. R.
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Using a confining potential, we consider spherically symmetric vacuum (static black hole) solutions in a brane-world scenario. Working with a constant curvature bulk, two interesting cases/solutions are studied. A Schwarzschild-de Sitter black hole solution similar to the standard solution in the presence of a cosmological constant is obtained which confirms the idea that an extra term in the field equations on the brane can play the role of a positive cosmological constant and may be used to account for the accelerated expansion of the universe. The other solution is one in which we can have a proper potential to explain the galaxy rotation curves without assuming the existence of dark matter and without working with new modified theories (modified Newtonian dynamics).
Comment: 12 pages, to appear in PRD
General Relativity and Quantum Cosmology, High Energy Physics - Theory