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Cited by 1,368Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryCosmology and Gravitation Theories

Gravity, Lorentz violation, and the standard model

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Kostelecký, V. Alan·2004·Physical Review D
DOI 10.1103/physrevd.69.105009
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Abstract

The role of the gravitational sector in the Lorentz- and CPT-violating standard-model extension (SME) is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan spacetimes, which include as limiting cases the usual Riemann and Minkowski geometries. The methodology is first illustrated in the context of the QED extension in a Riemann-Cartan background. The full SME in this background is then considered, and the leading-order terms in the SME action involving operators of mass dimension three and four are constructed. The incorporation of arbitrary Lorentz and CPT violation into general relativity and other theories of gravity based on Riemann-Cartan geometries is discussed. The dominant terms in the effective low-energy action for the gravitational sector are provided, thereby completing the formulation of the leading-order terms in the SME with gravity. Explicit Lorentz symmetry breaking is found to be incompatible with generic Riemann-Cartan geometries, but spontaneous Lorentz breaking evades this difficulty.

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  • Making all Lorentz violating tensors dynamical removes prior geometry.

    “The solution is to make all Lorentz violating tensors dynamical [173, 157], thereby removing prior geometry.”

    From Modern Tests of Lorentz Invariance (2005) · cites this paper as [173]

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Research works printed but not linked: 16

  1. ͓1͔ For recent overviews of various experimental and theoretical approaches to Lorentz and CPT violation, see, for example, CPT and Lorentz Symmetry II, edited by V. A. Kostelecky ´ ͑World Scientific, Singapore, 2002͒.
  2. ͓6͔ For a review of gravitation in Riemann-Cartan spacetimes see, for example, F. W. Hehl, P. von der Heyde, G. D. Kerlick, and J. M. Nester, Rev. Mod. Phys. 48, 393 ͑1976͒.
  3. J. Cline and L. Valca ´rcel, hep-ph/0312245. · arXiv
  4. ͓14͔ N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Muko- hyama, hep-th/0312099. · arXiv
  5. BaBar Collaboration, B. Aubert et al., hep-ex/0303043; · arXiv
  6. ͓22͔ F. Cane `et al., physics/0309070. · arXiv
  7. B. Altschul, hep-th/0311200. · arXiv
  8. P. Wolf et al., gr-qc/0401017. · arXiv
  9. V. A. Kostelecky ´ and M. Mewes, hep-ph/0308300; · arXiv
  10. S. Choubey and S. F. King, hep-ph/0311326. · arXiv
  11. ͓48͔ R. Bluhm and V. A. Kostelecky ´͑unpublished͒. ͓49͔ LIGO Collaboration, B. Abbott et al., gr-qc/0312088; · arXiv
  12. VIRGO Collaboration, B. Caron et al., Nucl. Phys. B ͑Proc. Suppl.͒ 54, 167 ͑1997͒;
  13. ͓51͔ For reviews see, for example, Testing Relativistic Gravity in Space: Gyros, Clocks, and Interferometers, edited by C. La ¨m- merzahl, C. W. F. Everitt, and F. W. Hehl ͑Springer-Verlag, Berlin, 2001͒.
  14. ͓55͔ See, for example, D. Bao, S.-S. Chern, and Z. Shen, Introduc- tion to Riemann-Finsler Geometry ͑Springer-Verlag, New York, 2000͒.
  15. A. Jenkins, hep-th/0311127. · arXiv
  16. V. ALAN KOSTELECKY ´PHYSICAL REVIEW D 69, 105009 ͑2004͒ 105009-20

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Authors
Kostelecký, V. A.
Affiliations
Indiana University Bloomington (US)
Corresponding author
Kostelecký, V. Alan
ORCID
Kostelecký, V. Alan
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2004-05-17
Volume
69
Issue
10
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.69.105009
OpenAlex
W2163842679
Cited by
1,368
References
129
Citations by year
2026: 88 · 2025: 107 · 2024: 69 · 2023: 87 · 2022: 67 · 2021: 66 · 2020: 63 · 2019: 59 · 2018: 84 · 2017: 61 · 2016: 76 · 2015: 53 · 2014: 65 · 2013: 44 · 2012: 48
FWCI
34.43
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • IUScholarWorks (Indiana University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • U.S. Department of Energy (DE‐FG02‐, FG0291ER40661, DEFG0291ER40661)
  • National Aeronautics and Space Administration (NAG81770)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
Keywords
Lorentz violation, CPT violation, beyond the Standard Model, Riemann-Cartan geometry, torsion, general relativity, gravity

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