Abstract
In this paper we construct new hairy black holes of Lovelock–Born–Infeld-scalar gravity in diverse dimensions. We study horizon structures of the black holes and find the black holes may possess three horizons, two horizons or one horizon. We give the thermodynamic quantities and check the first laws. We study the thermal phase transition behaviors of the black holes in T–S plane, and find for even-dimensional black holes, in some ranges of the parameters Van der Waals-like phase transitions occur, in some ranges of the parameters, reentrant phase transitions (RPTs) appear. For odd-dimensional black holes no such phase transitions are found.
Highlights
It’s known that general relativity (GR) is non-renormalizable, it was found that higher derivative corrections to Einstein gravity can lead to a power-counting renormalizable theory [1], researchers are motivated to study high derivative gravities
Since Lovelock gravity contains a lot of Lovelock coefficients which makes it difficult to write the solution in an explicit form, Banados, Teitelboim and Zanelli proposed a choice of the Lovelock coefficients, the theory obtained is called dimensionally continued gravity (DCG) [5]
For odd-dimensional black holes (d = 2n − 1) we repeat the above procedure, no phase transitions are found. This agrees with the results found in Refs. [49] and [26], there thermal phase transitions of odd-dimensional black holes in T -S plane were not found too
Summary
It’s known that general relativity (GR) is non-renormalizable, it was found that higher derivative corrections to Einstein gravity can lead to a power-counting renormalizable theory [1], researchers are motivated to study high derivative gravities. When the cosmological constant is non-vanishing, conformal hairy black holes in 3 and 4 dimensions have been found [35, 36], with the configurations of the scalar field being regular outside or on the horizon. Hairy black holes of the theory (2) have been constructed in [39,40,41,42,43], the configurations of scalar field are regular everywhere outside or on the horizon These are the first example of black holes with conformal scalar hair in d > 4. We would like to generalize the black holes constructed in our previous work [26] to contain scalar hair, and study thermodynamics of the black holes obtained.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
