Abstract
We show that in asymptotically free mimetic gravity with limiting curvature the black hole singularity can be resolved and replaced by a static patch of de Sitter space. As a result of Hawking evaporation of these non-singular black holes, there remain stable remnants with vanishing Hawking temperature.
Highlights
JHEP10(2019)104 where dΩ2 = dθ2 + sin2 θdφ2
For a black hole of mass M the function a2 (r) = rg/r, where rg = 2M and for the de Sitter universe a2 = (Hr)2 with H−1 being the radius of curvature
In the previous paper [10] we have found that in a theory where the ideas of limiting curvature and asymptotic freedom of gravity are realized via the mimetic field, Kasner singularities are avoided and replaced by a de Sitter region at limiting curvature
Summary
Introducing the mimetic field φ through a Lagrange multiplier constraint, consider the theory of gravity defined by the action. Since the Lemaıtre coordinates are synchronous, the generic solution of the constraint equation φ,αφ,α = 1 satisfied by the mimetic field, which is compatible with the symmetries of ansatz (2.3), is φ = T + const. Solving the equation obtained by varying (3.1) with respect to φ for the Lagrange multiplier λ and substituting the metric ansatz (2.3), after lengthy but straightforward calculations we find that the spatial components of the modified Einstein equations have the first integral (see [10]), ba ̇ 3M b − a = f ab2 ,.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
