Abstract
We discuss black hole type solutions and wormhole type ones in the effective gravity models. Such models appear during the attempts to construct the quantum theory of gravity. The mentioned solutions, being, mostly, the perturbative generalisations of well-known ones in general relativity, carry out additional set of parameters and, therefore could help, for example, in the studying of the last stages of Hawking evaporation, in extracting the possibilities for the experimental or observational search and in helping to constrain by astrophysical data.
Highlights
The idea to construct the quantum theory of gravity leads to the appearance of a set of new models, for example, effective ones with scalar field(s), models with higher order curvature corrections, non-compact extra-dimensions and so on
Multidimensional Schwarzschild-like black holes embedded in the anti de-Sitter (AdS) Universe in the framework of Gauss–Bonnet gravity were studied in [30]
Where G is the gravitational constant, M is the mass of the black hole, Q is the electric charge of the black hole, l is the AdS radius, and the total energy of a Reissner–Nordstrom black hole does not obtain any contribution from Q2
Summary
The idea to construct the quantum theory of gravity leads to the appearance of a set of new models, for example, effective ones with scalar field(s), models with higher order curvature corrections, non-compact extra-dimensions and so on. It is important to note that in this model the new black hole solutions extend the well-known GR Schwarzschild and Kerr metrics, but, in contradiction, with no-hair theorem introducing new types of black hole characteristics In these string gravity effective models, the consideration often is restricted by the second order curvature correction. The existence of the lower limit on black hole radii (or mass) (8) leads to an interesting behaviour at final evaporation stages, when the second-order curvature terms contribute significantly. During the last few years, the interest in Gauss–Bonnet black hole solutions resumed due to the ideas of scalarization [20] In this context, these solutions were studied in more detailed form, including the presence of a cosmological constant [14], the presence of the massive scalar field [21,22], and different forms of coupling functions [21,23,24,25]. The stability of the solutions was studied [26], and, nowadays, it is proved much more carefully in a wide range [27,28,29]
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