Non-singular black holes in massive gravity: time-dependent solutions
Abstract
When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in which the dynamical metric and the reference metric are simultaneously diagonal and which inevitably exhibit coordinate-invariant singularities at the horizon. In this work we investigate the possibility of black hole solutions which can accommodate both a nonsingular horizon and Yukawa asymptotics. In particular, by adopting a time-dependent ansatz, we derive perturbative analytic solutions which possess non-singular horizons. These black hole solutions are indistinguishable from Schwarzschild black holes in the limit of zero graviton mass. At finite graviton mass, they depend explicitly on time. However, we demonstrate that the location of the apparent horizon is not necessarily time-dependent, indicating that these black holes are not necessarily accreting or evaporating (classically). Thus in deriving these results, we also review and extend known results about static black hole solutions in massive gravity.
- Authors:
-
- Columbia Univ., New York, NY (United States)
- Publication Date:
- Research Org.:
- Columbia Univ., New York, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1499156
- Grant/Contract Number:
- SC0011941
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Black Holes; Classical Theories of Gravity; Effective Field Theories
Citation Formats
Rosen, Rachel A. Non-singular black holes in massive gravity: time-dependent solutions. United States: N. p., 2017.
Web. doi:10.1007/jhep10(2017)206.
Rosen, Rachel A. Non-singular black holes in massive gravity: time-dependent solutions. United States. doi:10.1007/jhep10(2017)206.
Rosen, Rachel A. Mon .
"Non-singular black holes in massive gravity: time-dependent solutions". United States. doi:10.1007/jhep10(2017)206. https://www.osti.gov/servlets/purl/1499156.
@article{osti_1499156,
title = {Non-singular black holes in massive gravity: time-dependent solutions},
author = {Rosen, Rachel A.},
abstractNote = {When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in which the dynamical metric and the reference metric are simultaneously diagonal and which inevitably exhibit coordinate-invariant singularities at the horizon. In this work we investigate the possibility of black hole solutions which can accommodate both a nonsingular horizon and Yukawa asymptotics. In particular, by adopting a time-dependent ansatz, we derive perturbative analytic solutions which possess non-singular horizons. These black hole solutions are indistinguishable from Schwarzschild black holes in the limit of zero graviton mass. At finite graviton mass, they depend explicitly on time. However, we demonstrate that the location of the apparent horizon is not necessarily time-dependent, indicating that these black holes are not necessarily accreting or evaporating (classically). Thus in deriving these results, we also review and extend known results about static black hole solutions in massive gravity.},
doi = {10.1007/jhep10(2017)206},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}
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Figures / Tables:
Figure 1: Comparison of the g00(r) component of the metric for black holes in minimal massive gravity (dark gray) and Schwarzschild black holes (light gray).
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Works referenced in this record:
Theoretical aspects of massive gravity
journal, May 2012
- Hinterbichler, Kurt
- Reviews of Modern Physics, Vol. 84, Issue 2
On non-linear actions for massive gravity
journal, July 2011
- Hassan, S. F.; Rosen, Rachel A.
- Journal of High Energy Physics, Vol. 2011, Issue 7
Black holes in massive gravity
journal, July 2015
- Babichev, Eugeny; Brito, Richard
- Classical and Quantum Gravity, Vol. 32, Issue 15
Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
journal, September 2013
- Volkov, Mikhail S.
- Classical and Quantum Gravity, Vol. 30, Issue 18
Massive and mass-less Yang-Mills and gravitational fields
journal, September 1970
- van Dam, H.; Veltman, M.
- Nuclear Physics B, Vol. 22, Issue 2
Instability of black holes in massive gravity
journal, July 2013
- Babichev, Eugeny; Fabbri, Alessandro
- Classical and Quantum Gravity, Vol. 30, Issue 15
On horizon structure of bimetric spacetimes
journal, February 2012
- Deffayet, Cédric; Jacobson, Ted
- Classical and Quantum Gravity, Vol. 29, Issue 6
Analytic Solutions in Nonlinear Massive Gravity
journal, September 2011
- Koyama, Kazuya; Niz, Gustavo; Tasinato, Gianmassimo
- Physical Review Letters, Vol. 107, Issue 13
Spherically symmetric analysis on open FLRW solution in non-linear massive gravity
journal, December 2012
- Chiang, Chien-I; Izumi, Keisuke; Chen, Pisin
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 12
On the Vainshtein mechanism in the minimal model of massive gravity
journal, March 2014
- Renaux-Petel, Sébastien
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 03
On the black holes in alternative theories of gravity: The case of nonlinear massive gravity
journal, February 2015
- Arraut, Ivan
- International Journal of Modern Physics D, Vol. 24, Issue 03
To the problem of nonvanishing gravitation mass
journal, May 1972
- Vainshtein, A. I.
- Physics Letters B, Vol. 39, Issue 3
Massive Gravity
journal, August 2014
- de Rham, Claudia
- Living Reviews in Relativity, Vol. 17, Issue 1
Resolving the Ghost Problem in Nonlinear Massive Gravity
journal, January 2012
- Hassan, S. F.; Rosen, Rachel A.
- Physical Review Letters, Vol. 108, Issue 4
Resummation of Massive Gravity
journal, June 2011
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- Physical Review Letters, Vol. 106, Issue 23
Exact solutions in massive gravity
journal, September 2013
- Tasinato, Gianmassimo; Koyama, Kazuya; Niz, Gustavo
- Classical and Quantum Gravity, Vol. 30, Issue 18
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- de Rham, Claudia; Heisenberg, Lavinia; Tolley, Andrew J.
- Physical Review D, Vol. 100, Issue 10
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- de Rham, Claudia; Zhang, Jun
- Physical Review D, Vol. 100, Issue 12
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- Tattersall, Oliver J.; Ferreira, Pedro G.; Lagos, Macarena
- Physical Review D, Vol. 97, Issue 8
Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
journal, March 2019
- Dǎnilǎ, Bogdan; Harko, Tiberiu; Lobo, Francisco S. N.
- Physical Review D, Vol. 99, Issue 6
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journal, March 2019
- Hendi, Seyed Hossein; Dehghani, Ali
- The European Physical Journal C, Vol. 79, Issue 3
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.