Strong cosmic censorship in de Sitter space

Dias, Oscar J.C.; Eperon, Felicity C.; Reall, Harvey S.; Santos, Jorge E.

doi:10.1103/PhysRevD.97.104060

Strong cosmic censorship in de Sitter space

Jan 29, 2018

13 pages

Published in:

Phys.Rev.D 97 (2018) 10, 104060

Published: May 30, 2018

e-Print:

1801.09694 [gr-qc]

DOI:

10.1103/PhysRevD.97.104060

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Abstract: (APS)

Recent work indicates that the strong cosmic censorship hypothesis is violated by nearly extremal Reissner–Nordström–de Sitter black holes. It was argued that perturbations of such a black hole decay sufficiently rapidly that the perturbed spacetime can be extended across the Cauchy horizon as a weak solution of the equations of motion. In this paper we consider the case of Kerr–de Sitter black holes. We find that, for any nonextremal value of the black hole parameters, there are quasinormal modes which decay sufficiently slowly to ensure that strong cosmic censorship is respected. Our analysis covers both scalar field and linearized gravitational perturbations.

Note:

26 pages, 6 figures

References(42)

Figures(6)

[1]

Theoretical Principles in Astrophysics and Relativity

N.R. Liebowitz
,
W.H. Reid
,
P.O. Vandervoort
,
R. Penrose

[2]

Internal instability in a Reissner-Nordstrom black hole

- Int.J.Theor.Phys. 7 (1973) 183-197
•
DOI:
- 10.1007/BF00792069

[3]

Internal structure of black holes

Eric Poisson
(
- Alberta U.
)
,
W. Israel
(
- Alberta U.
)

- Phys.Rev.D 41 (1990) 1796-1809
•
DOI:
- 10.1103/PhysRevD.41.1796

[4]

The interior of charged black holes and the problem of uniqueness in general relativity

Mihalis Dafermos
(
- MIT
)

- Commun.Pure Appl.Math. 58 (2005) 4, 0445-0504
•
e-Print:
- gr-qc/0307013
•
DOI:
- 10.1002/cpa.20071

[5]

Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region

e-Print:
- 1702.05715

[6]

Stability of Black Holes in De Sitter Space

- Phys.Rev.D 41 (1990) 403
•
DOI:
- 10.1103/PhysRevD.41.403

[7]

The Cauchy horizon in black hole de sitter space-times

Chris M. Chambers
(
- Montana State U.
)

- Annals Israel Phys.Soc. 13 (1997) 33,
•
e-Print:
- gr-qc/9709025

[8]

Cosmic censorship: As strong as ever

Patrick R. Brady
(
- Caltech
)
,
Ian G. Moss
(
- Newcastle upon Tyne U.
)
,
Robert C. Myers
(
- Santa Barbara, KITP
)

- Phys.Rev.Lett. 80 (1998) 3432-3435
•
e-Print:
- gr-qc/9801032
•
DOI:
- 10.1103/PhysRevLett.80.3432

[9]

Inner structure of a charged black hole: An exact mass-inflation solution

Amos Ori
(
- Caltech
)

- Phys.Rev.Lett. 67 (1991) 789-792
•
DOI:
- 10.1103/PhysRevLett.67.789

[10]

The Formation of Black Holes in General Relativity

D. Christodoulou

[11]

Black holes without spacelike singularities

Mihalis Dafermos
(
- Harvard U., Dept. Math.
)

- Commun.Math.Phys. 332 (2014) 729-757
•
e-Print:
- 1201.1797
•
DOI:
- 10.1007/s00220-014-2063-4

[12]

Quasinormal modes and Strong Cosmic Censorship

Vitor Cardoso
(
- Lisbon, CENTRA and
- Perimeter Inst. Theor. Phys.
)
,
João L. Costa
(
- Lisbon, CFTP and
- Lisbon, IST Maths
)
,
Kyriakos Destounis
(
- Lisbon, CENTRA
)
,
Peter Hintz
(
- UC, Berkeley, Math. Dept.
)
,
Aron Jansen
(
- Utrecht U.
)

- Phys.Rev.Lett. 120 (2018) 3, 031103
•
e-Print:
- 1711.10502
•
DOI:
- 10.1103/PhysRevLett.120.031103

[13]

Analysis of linear waves near the Cauchy horizon of cosmological black holes

- J.Math.Phys. 58 (2017) 8, 081509
•
e-Print:
- 1512.08004
•
DOI:
- 10.1063/1.4996575

[14]

A. Sá Barreto
,
M. Zworski

- Math.Res.Lett. 4 (1997) 103
•
DOI:
- 10.4310/MRL.1997.v4.n1.a10

[15]

J.-F. Bony
,
D. Häfner

- Commun.Math.Phys. 282 (2008) 697
•
DOI:
- 10.1007/s00220-008-0553-y

[16]

Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes

Semyon Dyatlov
(
- UC, Berkeley, Math. Dept.
)

- Annales Henri Poincare 13 (2012) 1101-1166
•
e-Print:
- 1101.1260
•
DOI:
- 10.1007/s00023-012-0159-y

[17]

Asymptotics of linear waves and resonances with applications to black holes

Semyon Dyatlov
(
- UC, Berkeley, Math. Dept.
)

- Commun.Math.Phys. 335 (2015) 3, 1445-1485
•
e-Print:
- 1305.1723
•
DOI:
- 10.1007/s00220-014-2255-y

[18]

The global non-linear stability of the Kerr-de Sitter family of black holes.

- Acta Math. 220 (2018) 1, 1-206,
- Acta Mat. 220 (2018) 1, 1-206,
- Acta Mathematica, 220:1-206, 2018
•
e-Print:
- 1606.04014
•
DOI:
- 10.4310/ACTA.2018.v220.n1.a1