Covariant constraints for generic massive gravity and analysis of its characteristics
Abstract
We perform a covariant constraint analysis of massive gravity valid for its entire parameter space, demonstrating that the model generically propagates 5 degrees of freedom; this is also verified by a new and streamlined Hamiltonian description. Here, the constraint’s covariant expression permits computation of the model’s caustics. Although new features such as the dynamical Riemann tensor appear in the characteristic matrix, the model still exhibits the pathologies uncovered in earlier work: superluminality and likely acausalities.
- Authors:
-
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Univ. of Southern Denmark, Odense (Denmark); Univ. of California, Davis, CA (United States)
- Univ. of California, Davis, CA (United States)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1599630
- Alternate Identifier(s):
- OSTI ID: 1181330
- Grant/Contract Number:
- SC0011632; PHY-1266107; FG03-91ER40674
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 90; Journal Issue: 10; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Deser, S., Sandora, M., Waldron, A., and Zahariade, G. Covariant constraints for generic massive gravity and analysis of its characteristics. United States: N. p., 2014.
Web. doi:10.1103/PhysRevD.90.104043.
Deser, S., Sandora, M., Waldron, A., & Zahariade, G. Covariant constraints for generic massive gravity and analysis of its characteristics. United States. https://doi.org/10.1103/PhysRevD.90.104043
Deser, S., Sandora, M., Waldron, A., and Zahariade, G. Wed .
"Covariant constraints for generic massive gravity and analysis of its characteristics". United States. https://doi.org/10.1103/PhysRevD.90.104043. https://www.osti.gov/servlets/purl/1599630.
@article{osti_1599630,
title = {Covariant constraints for generic massive gravity and analysis of its characteristics},
author = {Deser, S. and Sandora, M. and Waldron, A. and Zahariade, G.},
abstractNote = {We perform a covariant constraint analysis of massive gravity valid for its entire parameter space, demonstrating that the model generically propagates 5 degrees of freedom; this is also verified by a new and streamlined Hamiltonian description. Here, the constraint’s covariant expression permits computation of the model’s caustics. Although new features such as the dynamical Riemann tensor appear in the characteristic matrix, the model still exhibits the pathologies uncovered in earlier work: superluminality and likely acausalities.},
doi = {10.1103/PhysRevD.90.104043},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 10,
volume = 90,
place = {United States},
year = {Wed Nov 26 00:00:00 EST 2014},
month = {Wed Nov 26 00:00:00 EST 2014}
}
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Works referenced in this record:
The m→0 limit for massive graviton in dS4 and AdS4 — How to circumvent the van Dam–Veltman–Zakharov discontinuity
journal, March 2001
- Kogan, Ian I.; Mouslopoulos, Stavros; Papazoglou, Antonios
- Physics Letters B, Vol. 503, Issue 1-2
Superluminality in the Bi- and Multi-Galileon
journal, July 2013
- de Fromont, Paul; de Rham, Claudia; Heisenberg, Lavinia
- Journal of High Energy Physics, Vol. 2013, Issue 7
No consistent bimetric gravity?
journal, October 2013
- Deser, S.; Sandora, M.; Waldron, A.
- Physical Review D, Vol. 88, Issue 8
Partially massless spin-2 electrodynamics
journal, October 2006
- Deser, S.; Waldron, A.
- Physical Review D, Vol. 74, Issue 8
Non-Einstein source effects in massive gravity
journal, January 2014
- Deser, S.; Waldron, A.
- Physical Review D, Vol. 89, Issue 2
Partial masslessness of higher spins in (A)dS
journal, July 2001
- Deser, S.; Waldron, A.
- Nuclear Physics B, Vol. 607, Issue 3
Hamiltonian Analysis of PoincarÉ Gauge Theory Scalar Modes
journal, August 1999
- Yo, Hwei-Jang; Nester, James M.
- International Journal of Modern Physics D, Vol. 08, Issue 04
Inconsistency of the local field theory of charged spin32 particles
journal, April 1961
- Johnson, Kenneth; Sudarshan, E. C. G.
- Annals of Physics, Vol. 13, Issue 1
Inconsistencies of massive charged gravitating higher spins
journal, June 2002
- Deser, S.; Waldron, A.
- Nuclear Physics B, Vol. 631, Issue 1-2
Ghost free massive gravity in the Stückelberg language
journal, May 2012
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- Physics Letters B, Vol. 711, Issue 2
Translation invariant time-dependent solutions to massive gravity
journal, December 2013
- Mourad, J.; Steer, D. A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12
Gauge invariance versus masslessness in de Sitter spaces
journal, May 1984
- Deser, S.; Nepomechie, Rafael I.
- Annals of Physics, Vol. 154, Issue 2
Massive gravity on de Sitter and unique candidate for partially massless gravity
journal, January 2013
- Rham, Claudia de; Renaux-Petel, Sébastien
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
To the problem of nonvanishing gravitation mass
journal, May 1972
- Vainshtein, A. I.
- Physics Letters B, Vol. 39, Issue 3
Covariant constraints in ghost free massive gravity
journal, January 2013
- Deffayet, C.; Mourad, J.; Zahariade, G.
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
Translation invariant time-dependent solutions to massive gravity II
journal, June 2014
- Mourad, J.; Steer, D. A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 06
Ghost-free massive gravity with a general reference metric
journal, February 2012
- Hassan, S. F.; Rosen, Rachel A.; Schmidt-May, Angnis
- Journal of High Energy Physics, Vol. 2012, Issue 2
Anomalous propagation of gauge fields in conformally flat spaces
journal, December 1983
- Deser, S.; Nepomechie, Rafael I.
- Physics Letters B, Vol. 132, Issue 4-6
Explicit form of the constraint algebra in tetrad gravity
journal, November 1988
- Charap, J. M.; Henneaux, M.; Nelson, J. E.
- Classical and Quantum Gravity, Vol. 5, Issue 11
Conformal invariance of partially massless higher spins
journal, December 2004
- Deser, S.; Waldron, A.
- Physics Letters B, Vol. 603, Issue 1-2
The Tenth Constraint in the Minimally Coupled Spin-2 Wave Equation
journal, February 1979
- Kobayashi, M.; Shamaly, A.
- Progress of Theoretical Physics, Vol. 61, Issue 2
Massive and mass-less Yang-Mills and gravitational fields
journal, September 1970
- van Dam, H.; Veltman, M.
- Nuclear Physics B, Vol. 22, Issue 2
Strong Coupling and Bounds on the Spin-2 Mass in Massive Gravity
journal, July 2013
- Burrage, Clare; Kaloper, Nemanja; Padilla, Antonio
- Physical Review Letters, Vol. 111, Issue 2
Canonical vierbein general relativity: the secondary constraints
journal, March 1987
- Charap, J. M.
- Classical and Quantum Gravity, Vol. 4, Issue 2
Generalization of the Fierz-Pauli action
journal, August 2010
- de Rham, Claudia; Gabadadze, Gregory
- Physical Review D, Vol. 82, Issue 4
Massive spin-2 in the Fradkin–Vasiliev formalism. I. Partially massless case
journal, September 2014
- Zinoviev, Yu. M.
- Nuclear Physics B, Vol. 886
Inconsistency of finite range gravitation
journal, June 1972
- Boulware, D. G.; Desser, S.
- Physics Letters B, Vol. 40, Issue 2
Can Gravitation Have a Finite Range?
journal, December 1972
- Boulware, David G.; Deser, S.
- Physical Review D, Vol. 6, Issue 12
Massive spin 3/2 electrodynamics
journal, October 2000
- Deser, S.; Waldron, A.; Pascalutsa, V.
- Physical Review D, Vol. 62, Issue 10
Minimal electromagnetic coupling for massive spin-two fields
journal, April 1978
- Kobayashi, M.; Shamaly, A.
- Physical Review D, Vol. 17, Issue 8
Resummation of Massive Gravity
journal, June 2011
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- Physical Review Letters, Vol. 106, Issue 23
Proof of consistency of nonlinear massive gravity in the Stückelberg formulation
journal, September 2012
- Hassan, S. F.; Schmidt-May, Angnis; von Strauss, Mikael
- Physics Letters B, Vol. 715, Issue 4-5
Causality of massive spin-2 field in external gravity
journal, October 2000
- Buchbinder, I. L.; Gitman, D. M.; Pershin, V. D.
- Physics Letters B, Vol. 492, Issue 1-2
No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
journal, August 2014
- Joung, Euihun; Li, Wenliang; Taronna, Massimo
- Physical Review Letters, Vol. 113, Issue 9
Massive gravity acausality redux
journal, October 2013
- Deser, S.; Izumi, K.; Ong, Y. C.
- Physics Letters B, Vol. 726, Issue 1-3
Chronology protection in Galileon models and massive gravity
journal, July 2012
- Burrage, Clare; Rham, Claudia de; Heisenberg, Lavinia
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07
The canonical Hamiltonian for vierbein general relativity
journal, November 1986
- Charap, J. M.; Nelson, J. E.
- Classical and Quantum Gravity, Vol. 3, Issue 6
Propagation and Quantization of Rarita-Schwinger Waves in an External Electromagnetic Potential
journal, October 1969
- Velo, Giorgio; Zwanziger, Daniel
- Physical Review, Vol. 186, Issue 5
Interacting spin-2 fields
journal, July 2012
- Hinterbichler, Kurt; Rosen, Rachel A.
- Journal of High Energy Physics, Vol. 2012, Issue 7
Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity
journal, April 2012
- Hassan, S. F.; Rosen, Rachel A.
- Journal of High Energy Physics, Vol. 2012, Issue 4
Massive Gravity
journal, August 2014
- de Rham, Claudia
- Living Reviews in Relativity, Vol. 17, Issue 1
Gravitational- and self-coupling of partially massless spin 2
journal, November 2012
- Deser, S.; Joung, E.; Waldron, A.
- Physical Review D, Vol. 86, Issue 10
The Boulware-Deser mode in 3D first-order massive gravity
journal, December 2013
- Bañados, Máximo; Deffayet, Cedric; Pino, Miguel
- Physical Review D, Vol. 88, Issue 12
Resolving the Ghost Problem in Nonlinear Massive Gravity
journal, January 2012
- Hassan, S. F.; Rosen, Rachel A.
- Physical Review Letters, Vol. 108, Issue 4
Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space
journal, June 2001
- Deser, S.; Waldron, A.
- Physical Review Letters, Vol. 87, Issue 3
Evidence for and obstructions to nonlinear partially massless gravity
journal, July 2013
- de Rham, Claudia; Hinterbichler, Kurt; Rosen, Rachel A.
- Physical Review D, Vol. 88, Issue 2
Massive gravity: exorcising the ghost
journal, April 2011
- Alberte, Lasma; Chamseddine, Ali H.; Mukhanov, Viatcheslav
- Journal of High Energy Physics, Vol. 2011, Issue 4
Nonlinear Realizations. II. Conformal Symmetry
journal, August 1969
- Salam, Abdus; Strathdee, J.
- Physical Review, Vol. 184, Issue 5
Surface integrals and the gravitational action
journal, June 1983
- Charap, J. M.; Nelson, J. E.
- Journal of Physics A: Mathematical and General, Vol. 16, Issue 8
Helicity decomposition of ghost-free massive gravity
journal, November 2011
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- Journal of High Energy Physics, Vol. 2011, Issue 11
-Dominance of Gravity
journal, February 1971
- Isham, C. J.; Salam, Abdus; Strathdee, J.
- Physical Review D, Vol. 3, Issue 4
Theoretical aspects of massive gravity
journal, May 2012
- Hinterbichler, Kurt
- Reviews of Modern Physics, Vol. 84, Issue 2
No van Dam–Veltman–Zakharov discontinuity in AdS space
journal, January 2001
- Porrati, M.
- Physics Letters B, Vol. 498, Issue 1-2
An analysis of characteristics in nonlinear massive gravity
journal, September 2013
- Izumi, Keisuke; Ong, Yen Chin
- Classical and Quantum Gravity, Vol. 30, Issue 18
(Dis)continuities of massless limits in spin-3/2-mediated interactions and cosmological supergravity
journal, March 2001
- Deser, S.; Waldron, A.
- Physics Letters B, Vol. 501, Issue 1-2
Canonical vierbein form of general relativity
journal, November 1976
- Deser, S.; Isham, C. J.
- Physical Review D, Vol. 14, Issue 10
Acausality of Massive Gravity
journal, March 2013
- Deser, S.; Waldron, A.
- Physical Review Letters, Vol. 110, Issue 11
Stability of massive cosmological gravitons
journal, May 2001
- Deser, S.; Waldron, A.
- Physics Letters B, Vol. 508, Issue 3-4
Hamiltonian Analysis of PoincarÉ Gauge Theory: Higher spin Modes
journal, May 2002
- Yo, Hwei-Jang; Nester, James M.
- International Journal of Modern Physics D, Vol. 11, Issue 05
Spontaneous breakdown of conformal symmetry
journal, March 1970
- Isham, C. J.; Salam, A.; Strathdee, J.
- Physics Letters B, Vol. 31, Issue 5
Noncausality and Other Defects of Interaction Lagrangians for Particles with Spin One and Higher
journal, December 1969
- Velo, Giorgio; Zwanzinger, Daniel
- Physical Review, Vol. 188, Issue 5
Radiation of Massive Gravitation
journal, April 1973
- van Nieuwenhuizen, P.
- Physical Review D, Vol. 7, Issue 8
Nonlinear partially massless from massive gravity?
journal, May 2013
- Deser, S.; Sandora, M.; Waldron, A.
- Physical Review D, Vol. 87, Issue 10
Nonlinear Realizations. I. The Role of Goldstone Bosons
journal, August 1969
- Salam, Abdus; Strathdee, J.
- Physical Review, Vol. 184, Issue 5
Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations
journal, July 2001
- Deser, S.; Waldron, A.
- Physics Letters B, Vol. 513, Issue 1-2
Works referencing / citing this record:
On couplings to matter in massive (bi-)gravity
journal, January 2015
- Rham, Claudia de; Heisenberg, Lavinia; Ribeiro, Raquel H.
- Classical and Quantum Gravity, Vol. 32, Issue 3
Cosmological perturbations in massive bigravity
journal, December 2014
- Lagos, Macarena; Ferreira, Pedro G.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12
Recent developments in bimetric theory
journal, March 2016
- Schmidt-May, Angnis; Strauss, Mikael von
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 18
Stability of the early universe in bigravity theory
journal, August 2015
- Aoki, Katsuki; Maeda, Kei-ichi; Namba, Ryo
- Physical Review D, Vol. 92, Issue 4
Problems of massive gravities
journal, January 2015
- Deser, S.; Izumi, K.; Ong, Y. C.
- Modern Physics Letters A, Vol. 30, Issue 03n04
Superluminal graviton propagation
journal, October 2016
- Benakli, Karim; Chapman, Shira; Darmé, Luc
- Physical Review D, Vol. 94, Issue 8
Recent developments in bimetric theory
text, January 2015
- Schmidt-May, Angnis; von Strauss, Mikael
- arXiv