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BH2 - Theoretical and observational studies of astrophysical black holes

Speaker

COLLEAUX, AIMERIC

Coauthors

Talk Title

Avoiding Mass Inflation From A Series Of High Energy Corrections Admitting Regular Black Hole Solutions

Abstract

From a specific F(Riem,D) non-polynomial theory of gravity in a power series form, F(Riem,D)= \sum_{i=0}^{m} L^{2i} F_i(Riem,D), where F_0 = R, we show that for each order of the series, m>1, the unique spherically symmetric solution is a rational regular black hole with Schwarzschild asymptotic behaviour. For a suitable choice of coupling constants, and for all m>1, it is possible to impose a common vacuum state (M=0) describing an extremal regular black hole of radius L (and Minkowski spacetime in the limit of vanishing parameter L), which can be seen as a realization of the semi-classical Bronstein argument. These requirements (regularity, Schwarzschild asymptotics, extremal vacuum) result in an interesting behaviour for the inner horizon surface gravity and for the phenomenology of the regular solutions. As the number m of high energy corrections grows, the inner horizon surface gravity decreases, meaning that within this setup, the effect of mass inflation can be cancelled by considering a very large number of radiative corrections.

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