Built on

T. Regge, J.A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108 (1957) 1063
1957
Earlier work this paper cites.
V.P. Frolov, G.A. Vilkovisky, Quantum gravity removes classical singularities and shortens the life of black holes, 1979, unpublished
1979
Earlier work this paper cites.
V.P. Frolov, G.A. Vilkovisky, Spherically symmetric collapse in quantum gravity, Phys. Lett. B 106 (1981) 307
1981
Earlier work this paper cites.
N.V. Krasnikov, Nonlocal gauge theories, Teor. Mat. Fiz. 73 (1987) 235 [ Theor. Math. Phys. 73 (1987) 1184 ]
1987
Earlier work this paper cites.
Y.V. Kuz’min, The convergent nonlocal gravitation, Yad. Fiz. 50 (1989) 1630 [Sov. J. Nucl. Phys. 50 (1989) 1011]
1989
Earlier work this paper cites.
A.G. Mirzabekian, G.A. Vilkovisky, The one loop form-factors in the effective action, and production of coherent gravitons from the vacuum, Class. Quantum Gravity 12 (1995) 2173 [ arXiv:hep-th/9504028 ]
1995
Earlier work this paper cites.
M. Asorey, J.L. López, I.L. Shapiro, Some remarks on high derivative quantum gravity, Int. J. Mod. Phys. A 12 (1997) 5711 [ arXiv:hep-th/9610006 ]
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A.O. Barvinsky, Nonlocal action for long distance modifications of gravity theory, Phys. Lett. B 572 (2003) 109 [ arXiv:hep-th/0304229 ]
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H.W. Hamber, R.M. Williams, Nonlocal effective gravitational field equations and the running of Newton’s G G , Phys. Rev. D 72 (2005) 044026 [ arXiv:hep-th/0507017 ]
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A.O. Barvinsky, On covariant long-distance modifications of Einstein theory and strong coupling problem, Phys. Rev. D 71 (2005) 084007 [ arXiv:hep-th/0501093 ]
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T. Biswas, A. Mazumdar, W. Siegel, Bouncing universes in string-inspired gravity, J. Cosmol. Astropart. Phys. 0603 (2006) 009 [ arXiv:hep-th/0508194 ]
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Earlier work this paper cites.
T.S. Koivisto, Dynamics of nonlocal cosmology, Phys. Rev. D 77 (2008) 123513 [ arXiv:0803.3399 ]
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2008
Earlier work this paper cites.
D. Oriti (Ed.), Approaches to Quantum Gravity, Cambridge University Press, Cambridge, U.K., 2009
2009
Earlier work this paper cites.
G. Calcagni, G. Nardelli, Nonlocal gravity and the diffusion equation, Phys. Rev. D 82 (2010) 123518 [ arXiv:1004.5144 ]
Original
2010
Earlier work this paper cites.
T. Biswas, T. Koivisto, A. Mazumdar, Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity, J. Cosmol. Astropart. Phys. 1011 (2010) 008 [ arXiv:1005.0590 ]
Original
2010
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L. Modesto, J.W. Moffat, P. Nicolini, Black holes in an ultraviolet complete quantum gravity, Phys. Lett. B 695 (2011) 397 [ arXiv:1010.0680 ]
Original
2011
Earlier work this paper cites.
Y.S. Myung, T. Moon, E.J. Son, Stability of f ⁡ ( R ) f(R) black holes, Phys. Rev. D 83 (2011) 124009 [ arXiv:1103.0343 ]
Original
2011
Earlier work this paper cites.

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2017

Stability of Schwarzschild singularity in non-local gravity

Calcagni, Gianluca, Modesto, Leonardo

Understand

In a previous work, it was shown that all Ricci-flat spacetimes are exact solutions for a large class of non-local gravitational theories.

Here we prove that, for a subclass of non-local theories, the Schwarzschild singularity is stable under linear perturbations.
Thus, non-locality may be not enough to cure all the singularities of general relativity.
Finally, we show that the Schwarzschild solution can be generated by the gravitational collapse of a thin shell of radiation.

Built on

T. Regge, J.A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108 (1957) 1063
1957
Earlier work this paper cites.
V.P. Frolov, G.A. Vilkovisky, Quantum gravity removes classical singularities and shortens the life of black holes, 1979, unpublished
1979
Earlier work this paper cites.
V.P. Frolov, G.A. Vilkovisky, Spherically symmetric collapse in quantum gravity, Phys. Lett. B 106 (1981) 307
1981
Earlier work this paper cites.
N.V. Krasnikov, Nonlocal gauge theories, Teor. Mat. Fiz. 73 (1987) 235 [ Theor. Math. Phys. 73 (1987) 1184 ]
1987
Earlier work this paper cites.
Y.V. Kuz’min, The convergent nonlocal gravitation, Yad. Fiz. 50 (1989) 1630 [Sov. J. Nucl. Phys. 50 (1989) 1011]
1989
Earlier work this paper cites.
A.G. Mirzabekian, G.A. Vilkovisky, The one loop form-factors in the effective action, and production of coherent gravitons from the vacuum, Class. Quantum Gravity 12 (1995) 2173 [ arXiv:hep-th/9504028 ]
1995
Earlier work this paper cites.
M. Asorey, J.L. López, I.L. Shapiro, Some remarks on high derivative quantum gravity, Int. J. Mod. Phys. A 12 (1997) 5711 [ arXiv:hep-th/9610006 ]
1997
Earlier work this paper cites.
A.O. Barvinsky, Nonlocal action for long distance modifications of gravity theory, Phys. Lett. B 572 (2003) 109 [ arXiv:hep-th/0304229 ]
2003
Earlier work this paper cites.
H.W. Hamber, R.M. Williams, Nonlocal effective gravitational field equations and the running of Newton’s G G , Phys. Rev. D 72 (2005) 044026 [ arXiv:hep-th/0507017 ]
2005
Earlier work this paper cites.
A.O. Barvinsky, On covariant long-distance modifications of Einstein theory and strong coupling problem, Phys. Rev. D 71 (2005) 084007 [ arXiv:hep-th/0501093 ]
2005
Earlier work this paper cites.
T. Biswas, A. Mazumdar, W. Siegel, Bouncing universes in string-inspired gravity, J. Cosmol. Astropart. Phys. 0603 (2006) 009 [ arXiv:hep-th/0508194 ]
2006
Earlier work this paper cites.
J. Khoury, Fading gravity and self-inflation, Phys. Rev. D 76 (2007) 123513 [ arXiv:hep-th/0612052 ]
2007
Earlier work this paper cites.
T.S. Koivisto, Dynamics of nonlocal cosmology, Phys. Rev. D 77 (2008) 123513 [ arXiv:0803.3399 ]
Original
2008
Earlier work this paper cites.
D. Oriti (Ed.), Approaches to Quantum Gravity, Cambridge University Press, Cambridge, U.K., 2009
2009
Earlier work this paper cites.
G. Calcagni, G. Nardelli, Nonlocal gravity and the diffusion equation, Phys. Rev. D 82 (2010) 123518 [ arXiv:1004.5144 ]
Original
2010
Earlier work this paper cites.
T. Biswas, T. Koivisto, A. Mazumdar, Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity, J. Cosmol. Astropart. Phys. 1011 (2010) 008 [ arXiv:1005.0590 ]
Original
2010
Earlier work this paper cites.
L. Modesto, J.W. Moffat, P. Nicolini, Black holes in an ultraviolet complete quantum gravity, Phys. Lett. B 695 (2011) 397 [ arXiv:1010.0680 ]
Original
2011
Earlier work this paper cites.
Y.S. Myung, T. Moon, E.J. Son, Stability of f ⁡ ( R ) f(R) black holes, Phys. Rev. D 83 (2011) 124009 [ arXiv:1103.0343 ]
Original
2011
Earlier work this paper cites.