Spherical symmetric solutions of F(R) gravity with a kinetic curvature scalar

Spherical symmetric solutions of F(R) gravity with a kinetic curvature scalar

Автор: Chervon S.V., Fabris J.C., Fomin I.V.

Журнал: Пространство, время и фундаментальные взаимодействия @stfi

Рубрика: Гравитация, космология и фундаментальные поля

Статья в выпуске: 1 (30), 2020 года.

Бесплатный доступ

We consider modified 𝑓(𝑅) gravity with a kinetic curvature scalar as a chiral self-gravitating model in a spherically symmetric spacetime. Most attention devoted to finding solutions for special case of scaling transformation when modified gravity transforms to Einstein frame from Jordan one. We proposed the method of determination of kinetic function for given scalar field dependence on space coordinate. New classes of solutions are found for special choice of 𝑓(𝑅) function.

F(r) гравитация, f(r) gravity, spherically symmetric solutions, chiral cosmological models

Короткий адрес: https://sciup.org/142225903

IDR: 142225903   |   DOI: 10.17238/issn2226-8812.2020.1.53-65

Список литературы Spherical symmetric solutions of F(R) gravity with a kinetic curvature scalar

  • Perlmutter S. et al. [Supernova Cosmology Project Collaboration]. Measurements of Omega and Lambda from 42 high redshift supernovae. Astrophys. J., 1999, vol. 517, pp. 565-586.
  • Riess A.G. et al. [Supernova Search Team]. Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J., 1998, vol. 116, pp. 1009-1038.
  • Ade P.A.R. et al. [Planck collaboration]. Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys., 2016, vol. 594, A13.
  • Ade P.A.R. et al. [BICEP2 and Keck Array collaborations]. Improved constraints on cosmology and foregrounds from BICEP2 and Keck Array cosmic microwave background data with inclusion of 95GHz band. Phys. Rev. Lett., 2016, vol. 116, p. 031302.
  • Hinshaw G. et al. [WMAP collaboration]. Nine-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological parameter results. Astrophys. J. Suppl., 2013, vol. 208, p. 19.
  • Seljak U. et al. [SDSS collaboration]. Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass and dark energy. Phys. Rev. D, 2005, vol. 71, p. 103515.
  • Eisenstein, D.J. et al. [SDSS collaboration]. Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies. Astrophys. J., 2005, vol. 633, pp. 560-574.
  • Jain B. and Taylor A. Cross-correlation tomography: measuring dark energy evolution with weak lensing. Phys. Rev. Lett., 2003, vol. 91, p. 141302.
  • Nojiri S. and Odintsov S.D. Unified cosmic history in modified gravity: from F(R) theory to Lorentz noninvariant models. Phys. Rept., 2011, vol. 505, pp. 59-144.
  • Nojiri S. and Odintsov S.D. and Oikonomou V.K. Modified gravity theories on a nutshell: inflation, bounce and late-time evolution. Phys. Rept., 2017, vol. 692, pp. 1-104. 64 С.
  • Joyce A., Jain B., Khoury J. and Trodden M. Beyond the cosmological Standard Model. Phys. Rept., 2015, vol. 568, pp. 1-98.
  • Clifton T., Ferreira, P. G., Padilla A. and Skordis C. Modified Gravity and Cosmology. Phys. Rept., 2012, vol. 513, pp. 1-189.
  • Abbott, B.P. et al. [LIGO Scientific and Virgo collaborations]. Observation of gravitational waves from a binary black hole merger. Phys. Rev. Lett., 2016, vol. 116, p. 061102.
  • Baumann D. and McAllister L. Inflation and String Theory. Cambridge, USA: Univ. Pr., 2014, 349 p.
  • Starobinsky A. A. A new type of isotropic cosmological models without singularity. Phys. Lett. B, 1980, vol. 91, pp. 99-102.
  • Gottlober S., Schmidt H.J. and Starobinsky A.A. Sixth Order gravity and conformal transformations. Class. Quant. Grav., 1990, vol. 7, p. 893.
  • Berkin A.L. and Maeda K. Effects of 𝑅3 and 𝑅𝑅 terms on 𝑅2 inflation. Phys. Lett. B, 1990, vol. 245, pp. 348-354.
  • Amendola L., Mayer B.A., Capozziello S., Occhionero F., Gottlober S., Muller V. and Schmidt H.J. Generalized sixth order gravity and inflation. Class. Quant. Grav., 1993, vol. 10, L43-L47.
  • Chiba T. Generalized gravity and ghost. JCAP, 2005, vol. 0503, p. 008.
  • Cuzinatto R.R., de Melo C.A.M., Medeiros L.G., and Pompeia P.J. Observational constraints on a phenomenological 𝑓(𝑅, 𝜕𝑅)-model. Gen. Rel. Grav., 2015, vol. 47, p. 29.
  • Castellanos A.R., Sobreira F., Shapiro I.L. and Starobinsky A.A. On higher derivative corrections to the inflationary model. JCAP, 2018, vol. 1812, p. 007.
  • Buchbinder I.L., Odintsov S. and Shapiro I. Effective Action in Quantum Gravity. Bristol, UK: IOP Publishing, 1992, 413 p.
  • Naruko A., Yoshida D. and Mukohyama S. Gravitational scalar-tensor theory. Class. Quant. Grav., 2016, vol. 33, 09LT01.
  • Saridakis E.N. and Tsoukalas M. Cosmology in new gravitational scalar-tensor theories. Phys. Rev. D, 2016, vol. 93, p. 124032.
  • Chervon S.V., Nikolaev A.V. and Mayorova T.I. On the derivation of field equation of 𝑓(𝑅) gravity with kinetic scalar curvature. Space, Time and Fundamental Interactions, 2017, no. 1, pp. 30-37.
  • Chervon S.V., Nikolaev A.V., Mayorova T.I., Odintsov S.D. and Oikonomou V.K. Kinetic scalar curvature extended 𝑓(𝑅) gravity. Nucl. Phys. B, 2018, vol. 936, pp. 597-614.
  • Chervon, S. V. and Fomin, I. V. and Mayorova, T. I., Chiral Cosmological Model of 𝑓(𝑅) Gravity with a Kinetic Curvature Scalar, Grav. Cosmol., 2019, vol. 25, no. 3, pp. 205-212.
  • Chervon S.V. Chiral cosmological models: dark sector fields description. Quantum Matter, 2013, vol. 2, pp. 71-82.
  • Chervon S.V. On the chiral model of cosmological inflation. Russ. Phys. J., 1995, vol. 38, pp. 539-54.
  • Chervon S.V. Chiral non-linear sigma models and cosmological inflation. Grav. Cosmol., 1995, vol. 1, pp. 91-96.
  • Chervon S.V. Exact solutions in standard and chiral inflationary models. Proceedings of 9th Marcell Grossman Conference, Roma, World Scientific, 2001, p. 1909.
  • Chervon S.V. A global evolution of the universe filled with scalar or chiral fields. Grav. Cosmol. Suppl., 2002, vol. 8, p. 32.
  • Chervon S.V., Fomin I.V., and Kubasov A.S. Scalar and Chiral Cosmological Fields. Ulyanovsk: Ulyanovsk State Pedagogical University, 2015, 215 p.
  • Bronnikov K.A. and Rubin S.G. Black Holes, Cosmology and Extra Dimensions. Beijing: Natl. Ctr. Space Weather, 2012, 444 p.
Еще
Статья научная
QR-код для установки приложения SciUp Наведите камеру и скачайте бесплатное приложение SciUp