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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-AdS_4 geometry.
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Cited by 1 Pith paper
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Extending the Comisso-Asenjo Energy Extraction Mechanism to Pure Lovelock Gravity
For rotating pure Lovelock black holes in 6–9 dimensions, magnetic reconnection extracts more rotational energy as dimension grows, with the 9-dimensional case most efficient and sometimes outpacing the Blandford-Znaj...
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