Mass-gap for black hole formation in higher derivative and ghost free gravity - INSPIRE

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Mass-gap for black hole formation in higher derivative and ghost free gravity

Valeri P. Frolov
(
- Alberta U.
)

May 3, 2015

5 pages

Published in:

Phys.Rev.Lett. 115 (2015) 5, 051102

Published: Jul 31, 2015

e-Print:

1505.00492 [hep-th]

DOI:

10.1103/PhysRevLett.115.051102

View in:

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Abstract: (APS)

We study a spherical gravitational collapse of a small mass in higher-derivative and ghost-free theories of gravity. By boosting a solution of linearized equations for a static point mass in such theories we obtain in the Penrose limit the gravitational field of an ultrarelativistic particle. Taking a superposition of such solutions we construct a metric of a collapsing null shell in the linearized higher-derivative and ghost-free gravity. The latter allows one to find the gravitational field of a thick null shell. By analyzing these solutions we demonstrate that in a wide class of the higher dimensional theories of gravity as well as for the ghost-free gravity there exists a mass gap for mini-black-hole production. We also found conditions when the curvature invariants remain finite at r=0 for the collapse of the thick null shell.

Note:

4 pages

04.70.Bw
04.20.Jb
derivative: high
gravitation: collapse
mass: gap
black hole: production
black hole: formation
ghost
Penrose limit
curvature

References(19)

Figures(0)

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