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Cited by 198Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesRelativity and Gravitational Theory

Dark matter as integration constant in Hořava-Lifshitz gravity

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Mukohyama, Shinji·2009·Physical Review D
DOI 10.1103/physrevd.80.064005
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Abstract

In the nonrelativistic theory of gravitation recently proposed by Ho\ifmmode \check{r}\else \v{r}\fi{}ava, the Hamiltonian constraint is not a local equation satisfied at each spatial point but an equation integrated over a whole space. The global Hamiltonian constraint is less restrictive than its local version, and allows a richer set of solutions than in general relativity. We show that a component which behaves like pressureless dust emerges as an ``integration constant'' of dynamical equations and momentum constraint equations. Consequently, classical solutions to the infrared limit of Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity can mimic general relativity plus cold dark matter.

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Crossref · 10.1103/physrevd.80.064005

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  • In the projectable Hořava-Lifshitz case, if the state variables satisfy the conservation equation, then C(t) reduces to a constant and the corresponding term in the Friedmann equations plays the role of a pressureless dark matter component.

    “In the projectable case, if we suppose that the state variables ( and p) satisfy the conservation equation (243) then C(t) reduces to a constant and the corresponding term in the Friedmann equations (244) and (245) above play the role of a pressureless dark matter component as shown in Mukohyama (2009a).”

    From Testing general relativity in cosmology (2019) · cites this paper as Mukohyama (2009a)

  • The Hořava-Lifshitz theory and its improved versions have phenomenological implications in the infrared regime, for example an integration constant can play the role of dark matter.

    “The theory and its improved versions have interesting phenomenological implications in the infra-red (low-energy) regime where, for example, it was shown that an integration constant can play the role of dark matter (Mukohyama 2009a).”

    From Testing general relativity in cosmology (2019) · cites this paper as Mukohyama 2009a

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Authors
Mukohyama, S.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2009-09-01
Volume
80
Issue
6
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.80.064005
OpenAlex
W2147630737
Cited by
198
References
58
Citations by year
2026: 4 · 2025: 6 · 2024: 5 · 2023: 6 · 2022: 6 · 2021: 10 · 2020: 3 · 2019: 8 · 2018: 5 · 2017: 9 · 2016: 6 · 2015: 13 · 2014: 11 · 2013: 12 · 2012: 11
FWCI
15.79
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) (acceptedVersion)
  • arXiv (Cornell University)
Funders
Japan Society for the Promotion of Science (19GS0219)
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 › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
Hořava-Lifshitz gravity, dark matter, integration constants, momentum constraint, pressureless dust, infrared limit, cold dark matter, non-relativistic gravity

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