Abstract
We discuss a model of gravity with conformal symmetry appearing in the simplest extension of General Relativity with the Poincaré algebra terms. The nonlinear realization of symmetry causes the existence of five scalar fields. Therefore it looks desirable to use them for driving the inflation at the earliest stages of the Universe evolution. It is shown that the evolution of the scale factor depends on the number of fields included in the Lagrangian, but there are no inflationary solutions in this model. To drive inflation a more complicated model induced by extension of the Poincare algebra is required.
Similar content being viewed by others
REFERENCES
A. B. Arbuzov, B. M. Barbashov, A. Borowiec, V. N. Pervushin, S. A. Shuvalov, and A. F. Zakharov, “General relativity and the standard model in scale-invariant variables,” Grav. Cosmol. 15, 199–212 (2009).
A. B. Arbuzov, B. M. Barbashov, R. G. Nazmitdinov, V. N. Pervushin, A. Borowiec, K. N. Pichugin, and A. F. Zakharov, “Conformal hamiltonian dynamics of general relativity,” Phys. Lett. B 691, 210–233 (2010).
V. N. Pervushin, A. B. Arbuzov, B. M. Barbashov, R. G. Nazmitdinov, A. Borowiec, K. N. Pichugin, and A. F. Zakharov, “Conformal and affine hamiltonian dynamics of general relativity,” Gen. Rel. Grav. 44, 2745–2783 (2012).
A. Arbuzov and B. Latosh, “Gravity and nonlinear symmetry realization,” Universe 6, 12 (2020). arXiv: 1904.06516 [gr-qc]. https://doi.org/10.3390/universe6010012
V. A. Rubakov, Classical Theory of Gauge Fields (Princeton Univ. Press, Princeton, 2009).
V. P. Nair, Quantum Field Theory: A Modern Perspective; Graduate Texts in Contemporary Physics (Springer, New York, 2005).
B. P. Abbott et al. (LIGO Scientific and Virgo Collab.), “GW170817: Observation of gravitational waves from a binary neutron star inspiral,” Phys. Rev. D 119, 161101 (2017). https://doi.org/10.1103/PhysRevLett.119.161101
V. I. Ogievetsky, “Infinite-dimensional algebra of general covariance group as the closure of finite-dimensional algebras of conformal and linear groups,” Lett. Nuovo Cim. 8, 988–990 (1973). https://doi.org/10.1007/BF02891914
S. Weinberg, Cosmology (Oxford Univ. Press, New York, 2008).
S. O. Alexeyev, E. A. Pamyatnykh, A. V. Ursulov, D. A. Tretyakova, and B. N. Latosh, General Relativity: Introduction. Modern Development and Applications (URSS, Moscow, 2020) [in Russian].
A. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Phys. Lett. B 91, 99–102 (1980).
A. Arbuzov and B. Latosh, “Effective potential of scalar-tensor gravity,” arXiv: 2007.06306 [gr-qc].
ACKNOWLEDGMENTS
The authors would like to thank Dr. Boris Latosh for the useful discussions and critical notes on the subject of the paper.
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Alexeyev, S., Krichevskiy, D. Inflationary Solutions in the Simplest Gravity Model with Conformal Symmetry. Phys. Part. Nuclei Lett. 18, 128–130 (2021). https://doi.org/10.1134/S1547477121020035
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477121020035