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Conformal symmetry and accelerating cosmology in teleparallel gravity
Open accessAbstract
We discuss conformal issues of pure and extended teleparallel gravity. In particular, we present formulations of conformal transformation in teleparallel gravity. Furthermore, we propose conformal scalar and gauge field theories in teleparallel gravity and study conformal torsion gravity. We explicitly demonstrate that a power-law acceleration (including the $\ensuremath{\Lambda}\mathrm{CDM}$ universe) as well as the de Sitter expansion of the Universe can be realized in extended teleparallel gravity with a conformal scalar field, and that pure teleparallel gravity with a conformal scalar field can lead to the $\ensuremath{\Lambda}\mathrm{CDM}$ model. It is also shown that the de Sitter solution can exist in conformal torsion gravity.
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Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
Spergel, D. N., Verde, L., Peiris, H. V., Komatsu, E., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377226 · Cited by 10,976
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
General relativity with spin and torsion: Foundations and prospects
Hehl, F. W., von der Heyde, P., Kerlick, G. D., & Nester, J. M. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.393 · Cited by 2,709
Twenty years of the Weyl anomaly
Duff, M. J. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/6/004 · Cited by 785
Cited by
Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 2,734
Self-citationTeleparallel gravity: from theory to cosmology
Bahamonde, S., Dialektopoulos, K. F., Escamilla-Rivera, C., Farrugia, G., Gakis, V., Hendry, M., Hohmann, M., Levi Said, J., Mifsud, J., & Di Valentino, E. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac9cef · Cited by 503
Metadata
- Authors
- Bamba, K., Odintsov, S. D., & Sáez-Gómez, D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2013-10-25
- Volume
- 88
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2059854450
- Cited by
- 180
- References
- 6
- FWCI
- 8.75
- Type
- journal article
- Language
- en
- Open access
- green
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- Bamba, K., Odintsov, S. D., & Sáez-Gómez, D. (2013). Conformal symmetry and accelerating cosmology in teleparallel gravity. Physical Review D. https://doi.org/10.1103/physrevd.88.084042
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