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Cited by 133Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

Can we see Lorentz-violating vector fields in the CMB?

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Lim, Eugene A.·2005·Physical Review D
DOI 10.1103/physrevd.71.063504
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Abstract

We investigate the perturbation theory of a fixed-norm, timelike Lorentz-violating vector field. After consistently quantizing the vector field to put constraints on its parameters, we compute the primordial spectra of perturbations generated by inflation in the presence of this vector field. We find that its perturbations are sourced by the perturbations of the inflaton; without the inflaton perturbation the vector field perturbations decay away leaving no primordial spectra of perturbations. Since the inflaton perturbation does not have a spin-$1$ component, the vector field generically does not generate any spin-$1$ ``vector-type'' perturbations. Nevertheless, it will modify the amplitude of both the spin-$0$ ``scalar-type'' and spin-$2$ ``tensor-type'' perturbation spectra, leading to violations of the inflationary consistency relationship.

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Crossref · 10.1103/physrevd.71.063504

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37 of 37 references verified0 citation errors · 0 not checkable

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  • Generalized Einstein-Aether theory contains a modified effective gravitational constant.

    “The theory also contains a modified effective gravitational constant.”

    From Testing general relativity in cosmology (2019) · cites this paper as Lim (2005)

  • Specific choices of the free function in Generalized Einstein-Aether theory can lead to late-time acceleration with a corresponding model.

    “Specific examples can be found in Zlosnik et al. (2006), Zuntz et al. (2010) and Lim (2005) where specific choices of can lead to late time acceleration with corresponding to a model.”

    From Testing general relativity in cosmology (2019) · cites this paper as Lim (2005)

  • In aether theory, the four-vector can twist so local superluminal propagation leads to energy-momentum flowing around closed paths.

    “For example in an aether theory, where Lorentz violation is described by a timelike four-vector, the four-vector can twist in such a way that local superluminal propagation can lead to energy-momentum flowing around closed paths [206].”

    From Modern Tests of Lorentz Invariance (2005) · cites this paper as [206]

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Authors
Lim, E. A.
Affiliations
University of Chicago (US)
Corresponding author
Lim, Eugene A.
ORCID
Lim, Eugene A.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2005-03-04
Volume
71
Issue
6
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.71.063504
OpenAlex
W2030863369
Cited by
133
References
37
Citations by year
2026: 2 · 2025: 1 · 2024: 1 · 2022: 1 · 2020: 2 · 2019: 3 · 2018: 7 · 2017: 5 · 2016: 3 · 2015: 4 · 2014: 5 · 2013: 10 · 2012: 11
FWCI
9.21
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)
  • Research Portal (King's College London) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
Lorentz violation, timelike vector field, cosmic microwave background, primordial perturbations, inflation (cosmology)

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