Dilaton-scalar models in the context of generalized affine gravity theories: Their properties and integrability
E. Davydov, A.T. Filippov1
(1) Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
Nowadays it is widely accepted that the evolution of the Universe was driven by some scalar degrees of freedom both on its early stage and at present. The corresponding cosmological models often involve some scalar fields introduced ad hoc. In this paper we cultivate a different approach, based on a derivation of new scalar degrees of freedom from fundamental modifications of Einstein's gravity. In elaboration of our previous work, we here investigate the properties of dilaton-scalar gravity obtained by dimensional reductions of a recently proposed affine generalized gravity theory. We show that these models possess the same symmetries as the related models of GR with ordinary scalar fields.
For more information about this paper please visit Springer's Home Page of this paper.
- J. E. Horvath, Dark matter, dark energy and modern cosmology: the case for a Kuhnian paradigm shift, arXiv: 0809.2839.
- A. Linde, Particle Physics and Inflationary Cosmology (Harwood academic publishers, Chur, Switzerland, 1980); hep-th/0503203.
- B. Ratra and P. J. E. Peebles, Cosmological consequences of a rolling homogeneous scalar field, Phys. Rev. D 37, 3406 (1998).
- V. Sahni, Darkmatter and dark energy, Lect. Notes Phys. 653, 141 (2004); astro-ph/0403324.
- S. Nojiri and S. D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy, eConf C0602061, 06 (2006); Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007); hep-th/0601213.
- V. Sahni and A. A. Starobinsky, The case for a positive cosmological Lambda term, Int. J. Mod. Phys. D 9, 373 (2000); astro-ph/9904398.
- V. Sahni and A. Starobinsky, Reconstructing dark energy, Int. J. Mod. Phys.D 15, 2105 (2006); astroph/ 0610026.
- A. G. Riess et al.,NewHubble Space Telescope discoveries of type Ia supernovae atz >1: narrowing constraints on the early behavior of dark energy, Astrophys. J. 659, 98 (2007); astro-ph/0611572.
- W. M. Wood-Vasey et al. [ESSENCE Collaboration], Observational constraints on the nature of the dark energy: first cosmological results from the ESSENCE Supernova Survey, Astrophys. J. 666, 694 (2007); astro-ph/0701041.
- A. T. Filippov, On the Weyl-Eddington-Einstein affine gravity in the context of modern cosmology, Theor. Math. Phys. 163, 753 (2010); arXiv: 1003.0782.
- A. T. Filippov, General properties and some solution of generalized Einstein-Eddington affine gravity I, arXiv: 1112.3023.
- P. Forgacs and N. Manton, Space-time symmetries in gauge theories, Commun. Math. Phys. 72, 15 (1980).
- M. S. Volkov and D. V. Gal'tsov, Gravitating non-Abelian solitons and black holes with Yang-Mills fields, Phys. Rep. 319, 1 (1999); hep-th/9810070.
- D. V. Gal'tsov, Einstein-Yang-Mills solitons: towards new degrees of freedom, Proc. Int. Seminar Mathematical Cosmology, 92 (Potsdam, 1998); grqc/9808002.
- M. S. Volkov, Gravitating Yang-Mills vortices in 4+1space-time dimensions, Phys. Lett. B 524, 369 (2002); hep-th/0103038.
- A. T. Filippov, Exact solutions of (1 + 1)-dimensional dilaton gravity coupled to matter, Mod. Phys. Lett. A 11, 1691 (1996).
- A. T. Filippov, Integrable (1 + 1) dimensional gravity models, Int. J. Mod. Phys. A 12, 13 (1997).
- A. T. Filippov, Some unusual dimensional reductions of gravity: geometric potentials, separation of variables, and static-cosmological duality, hep-th/0605276.
- V. de Alfaro and A. T. Filippov, Dimensional reduction of gravity and relation between static states, cosmologies and waves, hep-th/0612258.
- V. de Alfaro and A. T. Filippov, Multi-exponential models of (1+1)-dimensional dilaton gravity and Toda-Liouville integrable models, Teor. Mat. Fiz. (2010), arXiv: 0902.4445.
- A. T. Filippov, Unified description of cosmological and static solutions in affine generalized theories of gravity: vecton-scalaron duality and its applications, arXiv: 1302.6372.
Back to The Contents Page