2018
Action growth for black holes in modified gravity
Abstract: The general form of the action growth for a large class of static black hole solutions in modified gravity which includes F (R)-gravity models is computed. The cases of black hole solutions with non constant Ricci scalar are also considered, generalizing the results previously found and valid only for black holes with constant Ricci scalar. An argument is put forward to provide a physical interpretation of the results, which seem tightly connected with the generalized second law of black hole thermodynamics
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Cited by 24 publications
(18 citation statements)
References 91 publications
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“…Our main concern was to compute finite term of the on-shell action. It is contrary to the most studies in the literature where the main concern was to compute the growth rate of the complexity (see for example [53][54][55][56][57][58][59][60][61][62][63][64][65][66]).…”
Section: Discussionmentioning
confidence: 92%
“…Our main concern was to compute finite term of the on-shell action. It is contrary to the most studies in the literature where the main concern was to compute the growth rate of the complexity (see for example [53][54][55][56][57][58][59][60][61][62][63][64][65][66]).…”
Section: Discussionmentioning
confidence: 92%
“…To the best of our knowledge, [1065] was the first to introduce the non-polynomial gravity approach. Models of these type have later been considered in various works (particularly in the search for regular BHs), see for instance [1066][1067][1068][1069][1070][1071][1072][1073][1074][1075].…”
Section: Dst Black Holementioning
confidence: 99%
“…[83][84][85] Before closing this section, we shall present some discussions on our results. Firstly, we argue that Ξ n [X 𝜇 ] can be defined as the induced field excited by Hawking radiation based on the fact that the fluctuation of worldsheet can be caused by Hawking radiation as the probe string is in black hole environment, even though the physical quantities related to Hawking radiation are not reflected in (37). It is noticed that besides Hawking radiation, the fluctuations may also be triggered by other mechanisms, such as a scalar field on the worldsheet as a defect, [86] but here we take more care of the worldsheet fluctuation itself, which means that fields Ξ n [X 𝜇 ] are only curve-dependent.…”
Section: Further Study From the Perspective Of String Field Theorymentioning
confidence: 99%
