Black hole scan

By J. Crisóstomo, Ricardo Troncoso, J. Zanelli. Physical Review D, 2000

273 citations recorded by the source corpus.

Gravitation theories selected by requiring that they have a unique anti-de Sitter vacuum with a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under consideration are labeled by an integer k=1,2, . . . ,[(d-1)/2]. Black holes for each d and k are found and are used to rank these theories. A minimum possible size for a localized electrically charged source is predicted in the whole set of theories, except general relativity. It is found that the thermodynamic behavior falls into two classes: If d-2k=1, these solutions resemble the three dimensional black hole; otherwise, their behavior is similar to the Schwarzschild-AdS4 geometry. ©2000 The American Physical Society.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f0508b3b4fe1e5d1eeaa189dd3a1520de7552c99

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Citations in the corpus

Higher Order Gravity Theories and Their Black Hole Solutions (2008, background): “This is the case of Chern-Simons gravity which is very interesting by itself and we invite the interested reader to consult [58].”
The Lovelock Black Holes (2008, background): “We study these naked singularities with quantum probes and show that, in spite of the divergence in the curvature, these spaces are well-behaved within a quantum mechanical context.”
Smarr formula and an extended first law for Lovelock gravity (2010, methodology): “The realvalued coefficients bk in the Lovelock Lagrangian are given by sums of products of the new coefficients αk in (12) (the explicit relations are given in [49]).”
On Gauss-Bonnet black hole entropy (2004, methodology): “Since the equations of motion are of second order, it is possible to find explicit solutions, and black hole solutions of these theories have been found by several authors [24, 25, 26, 27, 22, 28, 23, 29, 30].”
Modified Gravity and Cosmology (2011, background): “This is known as the Chern-Simons limit (at least in odd dimensions) [1297, 344], and corresponds to the case where the two roots coincide.”