Effective gravitational equations on a brane world with induced gravity
Open accessAbstract
We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the ${Z}_{2}$ symmetric brane. Applying this formalism, we study the induced-gravity brane model first proposed by Dvali, Gabadadze, and Porrati. In a generalization of their model, we show that an effective cosmological constant on the brane can be extremely reduced in contrast with the case of the Randall-Sundrum model even if a bulk cosmological constant and a brane tension are not fine tuned.
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In the presence of adiabatic perturbations, independent Hubble patches differ only in their local value of comoving spatial curvature K.
“In the presence of adiabatic perturbations, which are currently consistent with all cosmological observations (e.g.[1,20]), these independent Hubble patches would only differ in their local value of comoving spatial curvature K.”
From Out of the White Hole: A Holographic Origin for the Big Bang (2014) · cites this paper as [20]
The FRW-universe and effective Friedmann-equations sections discuss homogeneous cosmology and a curvature term, but do not address independent Hubble patches or adiabatic perturbations. Searches for those concepts and for observational consistency found no passage supporting the attributed claim. (LLM, conf=0.74)
Experimental — accuracy not yet measuredPlanck (+WMAP) observations show that ζ has a near-scale-invariant spectrum with amplitude (2.196 ± 0.059) × 10^-9 and tilt -0.0397 ± 0.0073 at k = 0.05 Mpc^-1.
“Planck (+WMAP) observations [20] show that ζ has a near-scale-invariant spectrum of perturbations:”
From Out of the White Hole: A Holographic Origin for the Big Bang (2014) · cites this paper as [20]
Because the holographic fluid is subdominant for most of cosmic evolution, standard cosmological perturbation theory is applicable.
“As the holographic fluid is sub-dominant for most of the cosmic evolution, one expects the standard cosmological perturbation theory, that has been extremely successful in explaining cosmic microwave background observations (e.g.[1,20], amongst other observational probes), to be applicable.”
From Out of the White Hole: A Holographic Origin for the Big Bang (2014) · cites this paper as [20]
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Cites
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677 · see citing works
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Research works printed but not linked: 34
- J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995).
- For earlier work on this topic, see K. Akama, Lect. Notes Phys. 176, 267 (1982) [hep- th/0001113];
- M. Visser, Phys. Lett. B 159,22(1985);
- M. Gogberashvili, Mod. Phys. Lett. A 14, 2025(1999); hep-ph/9908347. · arXiv
- I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B 436, 257 (1998);
- L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999); ibid, 83, 4690 (1999).
- T. Shiromizu, K. Maeda and M. Sasaki, Phys. Rev. D 62, 024012 (2000).
- M. Sasaki, T. Shiromizu and K. Maeda, Phys. Rev. D 62, 024008 (2000).
- K. Maeda and D. Wands, Phys. Rev. D 62, 124009 (2000).
- K. Maeda, Prog. Theor. Phys. Suppl. 148, 59 (2003) .
- G. Dvali and G. Gabadadze, Phys. Rev. D 63, 065007 (2001);
- G. Dvali, G. Gabadadze, and M. Shifman, hep-th/0202174. · arXiv
- A. Lue, Phys. Rev. D 59, 103503 (1999);
- G. Dvali, G. Gabadadze, M. Kolanović, and F. Nitti, Phys. Rev. D 64, 084004 (2001);
- G. Dvali, G. Gabadadze, and M. Shifman, hep-th/0202174; G. Kofinas, J. High Energy Phys. 08, 034 (2001). · arXiv
- C. Deffayet, Phys. Rev. D 66, 103504 (2002).
- C. Deffayet, G. Dvali, G. Gabadadze, and A. Vainshtein, Phys. Rev. D 65, 044026 (2002).
- G. Kofinas, E. Papantonopoulous, and I. Pappa, Phys. Rev. D 66, 104014 (2002);
- G. Kofinas, E. Pa- pantonopoulous, and V. Zamarias, Phys. Rev. D 66, 104028 (2002).
- S. L. Dubovsky and V. A. Rubakov, hep-th/0212222, · arXiv
- C. Deffayet, Phys. Lett. B 502, 199 (2001).
- C. Deffayet, G. Dvali, and G. Gabadadze, Phys. Rev. D 65, 044023 (2002);
- C. Deffayet, S. J. Landau, J. Raux, M. Zaldarriaga, and P. Astier, Phys. Rev. D 66, 024019 (2002).
- H. Collins, B. Holdom, Phys. Rev. D 66, 024019 (2002);
- Y. V. Shtanov, hep-th/0005193; · arXiv
- N. J. Kim, H. W. Lee, and Y. S. Myung, Phys. Lett. B 504, 323 (2001).
- V. Sahni and Y. Shtanov, astro-ph/0202346. · arXiv
- G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2752 (1977).
- S. Nojiri, S. D. Odintsov, and S. Zerbini, Phys. Rev. D 62, 064006 (2000);
- S. Nojiri, and S. D. Odintsov, Phys. Lett. B 484, 119 (2000).
- S. W. Hawking, T. Hertog, and H.S. Reall, Phys. Rev. D 62, 043501 (2001); ibid. 63, 083504 (2001);
- S. W. Hawking and T. Hertog, Phys. Rev. D 66, 123509 (2002).
- T. Tanaka, gr-qc/0305031. · arXiv
- A. A. Starobinsky, Phys. Lett. B 91, 99 (1980).
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Sorted by citations
Out of the White Hole: A Holographic Origin for the Big Bang
Pourhasan, R., Afshordi, N., & Mann, R. B. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/04/005 · Cited by 32 · see citing works
- Authors
- Maeda, K.-I., Mizuno, S., & Torii, T.
- Affiliations
- Waseda University (JP)
- ORCID
- Mizuno, Shuntaro
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-07-30
- Volume
- 68
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2150459126
- Cited by
- 142
- References
- 1
- Citations by year
- 2026: 2 · 2025: 2 · 2023: 2 · 2022: 2 · 2021: 1 · 2019: 2 · 2018: 2 · 2017: 3 · 2016: 4 · 2015: 5 · 2014: 5 · 2013: 4 · 2012: 9
- FWCI
- 8.30
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- 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)
- arXiv (Cornell University)
- Funders
- Waseda University
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- braneworld, induced gravity, DGP model, Randall-Sundrum model, cosmological constant, brane tension, bulk cosmological constant
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