Black holes in the fourdimensional EinsteinLovelock gravity
Abstract
A (3 +1 )dimensional EinsteinGaussBonnet theory of gravity has been recently formulated by Glavan and Lin [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020), 10.1103/PhysRevLett.124.081301] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's theorem and avoids Ostrogradsky instability. The theory was formulated in D >4 dimensions and its action consists of the EinsteinHilbert term with a cosmological constant, while the GaussBonnet term multiplied by a factor 1 /(D 4 ). Then, the fourdimensional theory is defined as the limit D →4 . Here we generalize this approach to the fourdimensional EinsteinLovelock theory and formulate the most general static 4 D blackhole solution allowing for a Λ term (either positive or negative) and the electric charge Q . As metric functions cannot be found in a closed form in the general case, we develop and share publicly the code which constructs the metric functions for every given set of parameters.
 Publication:

Physical Review D
 Pub Date:
 April 2020
 DOI:
 10.1103/PhysRevD.101.084038
 arXiv:
 arXiv:2003.07788
 Bibcode:
 2020PhRvD.101h4038K
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 5 pages, 1 ancillary Mathematica(R) notebook