Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
Shin'ichi Nojiri,
G. G. L. Nashed
Abstract:We show that the mimetic theory with the constraint g ρσ ∂ρφ∂σφ = 1 cannot realize the black hole geometry with the horizon(s). To overcome such issue, we may change the mimetic constraint a little bit by ω(φ)g ρσ ∂ρφ∂σφ = −1, where ω(φ) is a function of the scalar field φ. As an example, we consider (2 + 1)-dimensional mimetic gravity with the mimetic potential and construct black hole (BH) solutions by using this modified constraint. We study three different classes: In the first class, we assume the Lagrang… Show more
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