Topological black holes in mimetic gravity

Higher dimensional charged static and rotating solutions in mimetic gravity

“…It also was shown that, in the framework of mimetic gravity, a schwarzschild black hole can be exist without singularity [18]. Recently, in [19][20][21] the authors obtained topological black hole, black string as well as 3-dimensional BTZ-like solutions in the framework of mimetic gravity. From the cosmological point of view, in [22] the authors indicate that the singularities in cosmological solutions can be easily removed by considering the longitudinal degree of freedom of gravity to be dynamical.…”

Mimetic Black Strings

“…It was also observed that by modifying the action of mimetic gravity, a regular black hole can be exist without singularity inside the Schwarzschild spacetime [25]. Topological black holes in mimetic gravity in the presence of constant potential for the mimetic field were recently obtained in [26]. By gluing an exterior static solution to a timedependent anisotropic interior solution, the authors of [27] constructed mimetic black hole spacetime.…”

“…The reason is that they have simply assumed g tt = −g rr , and arrived at a special solution of the mimetic field equations. In order to reflect the impact of the extra degree of freedom of the gravitational field equations, encoded in the mimetic scalar field, on the metric functions, one need to consider the more general spacetime with g tt = −g rr [18,19,26,27,[30][31][32]. Other studies on mimetic gravity can be carried out in [33][34][35][36][37][38].…”

“…Also, constructing the potential associated with the mimetic field, by applying an inverse approach, for a general static spherically symmetric spacetime, it has been shown that the corrections to the Schwarzschild spacetime could provide an explanation for the inferred flat rotation curves of spiral galaxies within the mimetic gravity framework [19]. More recently, it has been realized [26] that one is capable to reproduce the flat galactic rotation curves, in the context of mimetic gravity, without neither modifying the action [39] nor taking into account a complicated potential for the mimetic field [19]. Indeed, the original theory of mimetic gravity [1] was proposed in such a way that it naturally mimics dark matter as a geometrical effect.…”

“…Indeed, the original theory of mimetic gravity [1] was proposed in such a way that it naturally mimics dark matter as a geometrical effect. It was argued that the origin of the responsible term for recovering the flat galactic rotation curves in a static spacetime, is exactly the one which mimics dark matter in the cosmological setup [26].…”