Curvature and dynamical spacetimes: can we peer into the quantum regime?

Kavli Affiliate: Ulrich Sperhake

| First 5 Authors: Vitor Cardoso, David Hilditch, Krinio Marouda, José Natário, Ulrich Sperhake

| Summary:

Stationary compact astrophysical objects such as black holes and neutron
stars behave as classical systems from the gravitational point of view. Their
(observable) curvature is everywhere "small". Here we investigate whether
mergers of such objects, or other strongly dynamical spacetimes such as
collapsing configurations, may probe the strong-curvature regime of General
Relativity. Our results indicate that dynamical black hole spacetimes always
result in a modest increase $sim 3$ in the Kretschmann scalar, relative to the
stationary state. Our results show that the Kretschmann scalar can dynamically
increase by orders of magnitude, during the gravitational collapse of scalar
fields, and that the (normalized) peak curvature does not correspond to that of
the critical solution. Nevertheless, without fine tuning of initial data, this
increase lies far below that needed to render quantum-gravity corrections
important.

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