Nonsingular black holes in massive gravity: timedependent solutions
Abstract
When starting with a static, sphericallysymmetric 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 coordinateinvariant 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 timedependent ansatz, we derive perturbative analytic solutions which possess nonsingular 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 timedependent, 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 10298479
 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. Nonsingular black holes in massive gravity: timedependent solutions. United States: N. p., 2017.
Web. doi:10.1007/jhep10(2017)206.
Rosen, Rachel A. Nonsingular black holes in massive gravity: timedependent solutions. United States. doi:10.1007/jhep10(2017)206.
Rosen, Rachel A. Mon .
"Nonsingular black holes in massive gravity: timedependent solutions". United States. doi:10.1007/jhep10(2017)206. https://www.osti.gov/servlets/purl/1499156.
@article{osti_1499156,
title = {Nonsingular black holes in massive gravity: timedependent solutions},
author = {Rosen, Rachel A.},
abstractNote = {When starting with a static, sphericallysymmetric 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 coordinateinvariant 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 timedependent ansatz, we derive perturbative analytic solutions which possess nonsingular 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 timedependent, 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}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Theoretical aspects of massive gravity
journal, May 2012
 Hinterbichler, Kurt
 Reviews of Modern Physics, Vol. 84, Issue 2
On nonlinear 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
Selfaccelerating cosmologies and hairy black holes in ghostfree bigravity and massive gravity
journal, September 2013
 Volkov, Mikhail S.
 Classical and Quantum Gravity, Vol. 30, Issue 18
Massive and massless YangMills 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 nonlinear massive gravity
journal, December 2012
 Chiang, ChienI; 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
 RenauxPetel, 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; Zhang, Jun
 Physical Review D, Vol. 100, Issue 12
Speed of gravitational waves and black hole hair
journal, April 2018
 Tattersall, Oliver J.; Ferreira, Pedro G.; Lagos, Macarena
 Physical Review D, Vol. 97, Issue 8
Spherically symmetric static vacuum solutions in hybrid metricPalatini gravity
journal, March 2019
 Dǎnilǎ, Bogdan; Harko, Tiberiu; Lobo, Francisco S. N.
 Physical Review D, Vol. 99, Issue 6
Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
journal, March 2019
 Hendi, Seyed Hossein; Dehghani, Ali
 The European Physical Journal C, Vol. 79, Issue 3