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Advisor(s)
Abstract(s)
In Einstein's theory of general relativity the vacuum solution yields a blackhole
with a curvature singularity, where there exists a point-like source with a Dirac delta distribution
which is introduced as a boundary condition in the static case. It has been known
for a while that ghost-free infinite derivative theory of gravity can ameliorate such a singularity
at least at the level of linear perturbation around the Minkowski background. In
this paper, we will show that the Schwarzschild metric does not satisfy the boundary condition
at the origin within in nite derivative theory of gravity, since a Dirac delta source is
smeared out by non-local gravitational interaction. We will also show that the spacetime
metric becomes conformally-flat and singularity-free within the non-local region, which can
be also made devoid of an event horizon. Furthermore, the scale of non-locality ought to be
as large as that of the Schwarzschild radius, in such a way that the gravitational potential in
any metric has to be always bounded by one, implying that gravity remains weak from the
infrared all the way up to the ultraviolet regime, in concurrence with the results obtained
in [arXiv:1707.00273]. The singular Schwarzschild blackhole can now be potentially replaced
by a non-singular compact object, whose core is governed by the mass and the e efective scale
of non-locality.
Description
Keywords
General relativity Infinite derivative gravity