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Cosmological perturbations inf(T)gravity
Open accessAbstract
We investigate the cosmological perturbations in $f(T)$ gravity. Examining the pure gravitational perturbations in the scalar sector using a diagonal vierbein, we extract the corresponding dispersion relation, which provides a constraint on the $f(T)$ Ans\"atze that lead to a theory free of instabilities. Additionally, upon inclusion of the matter perturbations, we derive the fully perturbed equations of motion, and we study the growth of matter overdensities. We show that $f(T)$ gravity with $f(T)$ constant coincides with General Relativity, both at the background as well as at the first-order perturbation level. Applying our formalism to the power-law model we find that on large subhorizon scales ($\mathcal{O}(100\text{ }\text{ }\mathrm{Mpc})$ or larger), the evolution of matter overdensity will differ from $\ensuremath{\Lambda}\mathrm{CDM}$ cosmology. Finally, examining the linear perturbations of the vector and tensor sectors, we find that (for the standard choice of vierbein) $f(T)$ gravity is free of massive gravitons.
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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
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Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L., Spergel, D. N., Tucker, G. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377253 · Cited by 4,860
Cosmological consequences of a rolling homogeneous scalar field
Ratra, B., & Peebles, P. J. E. (1988) · Physical Review D · doi:10.1103/physrevd.37.3406 · Cited by 4,310
Cosmological perturbations in Hořava-Lifshitz gravity
Gao, X., Wang, Y., Brandenberger, R., & Riotto, A. (2010) · Physical Review D · doi:10.1103/physrevd.81.083508 · Cited by 110
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
Bamba, K., Capozziello, S., Nojiri, S., & Odintsov, S. D. (2012) · Astrophysics and Space Science · doi:10.1007/s10509-012-1181-8 · Cited by 2,387
Generalizations of teleparallel gravity and local Lorentz symmetry
Sotiriou, T. P., Li, B., & Barrow, J. D. (2011) · Physical Review D · doi:10.1103/physrevd.83.104030 · Cited by 284
Abdalla, E., Abellán, G. F., Aboubrahim, A., Agnello, A., Akarsu, Ö., Akrami, Y., Alestas, G., Aloni, D., Amendola, L., Anchordoqui, L. A., et al. (2022) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2022.04.002 · Cited by 37
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Metadata
- Authors
- Chen, S.-H., Dent, J. B., Dutta, S., & Saridakis, E. N.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-01-10
- Volume
- 83
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2107965721
- Cited by
- 418
- References
- 5
- FWCI
- 20.40
- Type
- journal article
- Language
- en
- Open access
- green
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