Non-supersymmetric Attractor with the Cosmological Constant

Understand

As a test for the non-supersymmetric attractor mechanism, we consider extremal Reissner-Nordstr\"{o}m-(anti-)de Sitter black holes.

• Based on the simple observation that the near-horizon geometry of a generic extremal black hole contains two-dimensional anti-de Sitter factor even in the presence of the positive cosmological constant, we apply Ashoke Sen's entropy function method to compute the entropy of these black holes.
• We find the results which exactly agree with the Bekenstein-Hawking entropy.
• We also obtain the constant higher-order correction to the entropy due to the Gauss-Bonnet term.