Abstract
Recently a non-trivial 4-dimensional theory of gravity that claims to circumvent Lovelock's theorem and avoid Ostrogradsky instability was formulated in Glavan and Lin (2020) [1]. This theory, named “4D Einstein Gauss-Bonnet gravity”, presents several novel predictions for cosmology and black hole physics. In this paper, we generalize the vacuum black hole solution of Glavan & Lin to include electric charge in an anti-de Sitter space and explore some properties of this solution such as the asymptotics, properties of the horizons, the general relativity limit and thermodynamics.
Highlights
A diversity of observational data is delivering information with unprecedented accuracy on the strong gravity region around black holes (BHs) - see e.g. the reviews [2, 3]
We studied the asymptotics of the solution as well as its dependence on the parameters of the model
For the negative branch, the solution resembles the Reissner-Nordstrom BH in the far field in the absence of a cosmological constant and that the model allows solutions with one, two or no horizons depending if the mass is equal, above or below a certain critical mass, respectively
Summary
A diversity of observational data is delivering information with unprecedented accuracy on the strong gravity region around black holes (BHs) - see e.g. the reviews [2, 3]. The 4D Einstein Gauss-Bonnet model does not resort to any kind of matter or non-minimal couplings as extended-Scalar-Tensor-Gauss-Bonnet models do[10,11,12,13] This new approach to gravitational dynamics presents several novel predictions for cosmology and BH physics. We generalize this result to obtain a charged BH solution in AdS space in the 4D EGB theory and discuss some of its properties, asymptotics and limits.
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