Spherically Symmetric Configurations in the Dark Matter Model with Light Scalaron
DOI:
https://doi.org/10.15407/ujpe70.11.753Keywords:
compact astrophysical objects, modified gravity, scalar fieldsAbstract
Static spherically symmetric (SSS) solutions of the quadratic f(R) gravity are studied in the Einstein’s frame under conditions of asymptotic flatness. Following recent dark matter model, we consider the scalaron mass of the order of several meV. We found a representation of the basic equations that enabled us to perform a numerical investigation of the SSS configurations with sufficiently large (astrophysically relevant) masses. There is always a region around the center with significant effects due to a (nontrivial) scalaron field. The size of this region can be essentially larger than the Schwarzschild radius of the configuration. We describe asymptotic regimes near the naked singularity at the center and at spatial infinity and relate the parameters of these regimes.
References
1. Y. Shtanov. Light scalaron as dark matter. Phys. Lett. B 820, 136469 (2021).
https://doi.org/10.1016/j.physletb.2021.136469
2. S. Capozziello, V.F. Cardone, A. Troisi. Dark energy and dark matter as curvature effects. J. Cosmol. Astropart. Phys. 08, 001 (2006).
https://doi.org/10.1088/1475-7516/2006/08/001
3. J.A.R. Cembranos. Dark matter from R2 gravity. Phys. Rev. Lett. 102, 141301 (2009).
https://doi.org/10.1103/PhysRevLett.102.141301
4. C. Corda, H.J. Mosquera Cuesta, R. Lorduy Gomez. Highenergy scalarons in R2 gravity as a model for Dark Matter in galaxies. Astropart. Phys. 35, 362 (2012).
https://doi.org/10.1016/j.astropartphys.2011.08.009
5. T. Katsuragawa, S. Matsuzaki. Dark matter in modified gravity. Phys. Rev. D 95, 044040 (2017).
https://doi.org/10.1103/PhysRevD.95.044040
6. T. Katsuragawa, S. Matsuzaki. Cosmic history of chameleonic dark matter in F(R) gravity. Phys. Rev. D 97, 064037 (2018)
https://doi.org/10.1103/PhysRevD.97.129902
Erratum: Phys. Rev. D 97, 129902 (2018).
7. B.K. Yadav, M.M. Verma. Dark matter as scalaron in f(R) gravity models. J. Cosmol. Astropart. Phys. 10, 052 (2019).
https://doi.org/10.1088/1475-7516/2019/10/052
8. N. Parbin, U.D. Goswami. Scalarons mimicking dark matter in the Hu-Sawicki model of f(R) gravity. Mod. Phys. Lett. A 36, 2150265 (2021).
https://doi.org/10.1142/S0217732321502655
9. T.P. Sotiriou, V. Faraoni. f(R) theories of gravity. Rev. Mod. Phys. 82, 451 (2010).
https://doi.org/10.1103/RevModPhys.82.451
10. A. De Felice, S. Tsujikawa. f(r) theories. Liv. Rev. Relativ. 13, 3 (2010).
https://doi.org/10.12942/lrr-2010-3
11. S. Nojiri, S.D. Odintsov, V.K. Oikonomou. Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution. Phys. Rep. 692, 1 (2017).
https://doi.org/10.1016/j.physrep.2017.06.001
12. V.I. Zhdanov, O.S. Stashko, Y.V. Shtanov. Spherically symmetric configurations in the quadratic f(R) gravity. Phys. Rev. D 110, 024056 (2024).
https://doi.org/10.1103/PhysRevD.110.024056
13. A. de La Cruz-Dombriz, A. Dobado, A.L. Maroto. Black holes in f(R) theories. Phys. Rev. D 80, 124011 (2009).
https://doi.org/10.1103/PhysRevD.80.124011
14. S. Bhattacharya. Rotating Killing horizons in generic F(R) gravity theories. Gen. Relativ. Gravit. 48, 128 (2016).
https://doi.org/10.1007/s10714-016-2119-1
15. P. Canate. A no-hair theorem for black holes in f(R) gravity. Class. Quant. Gravity 35, 025018 (2017).
https://doi.org/10.1088/1361-6382/aa8e2e
16. G.G.L. Nashed, S. Nojiri. Nontrivial black hole solutions in f(R) gravitational theory. Phys. Rev. D 102, 124022 (2020).
https://doi.org/10.1103/PhysRevD.102.124022
17. G.G.L. Nashed, S. Nojiri. Specific neutral and charged black holes in f(R) gravitational theory. Phys. Rev. D 104, 124054 (2021).
https://doi.org/10.1103/PhysRevD.104.044043
18. E. Hernand'ez-Lorenzo, C.F. Steinwachs. Naked singularities in quadratic f(R) gravity. Phys. Rev. D 101, 124046 (2020).
https://doi.org/10.1103/PhysRevD.101.124046
19. D.J. Kapner, T.S. Cook, E.G. Adelberger, J.H. Gundlach, B.R. Heckel, C.D. Hoyle, H.E. Swanson, Tests of the gravitational inverse-square law below the dark-energy length scale. Phys. Rev. Lett. 98, 021101 (2007).
https://doi.org/10.1103/PhysRevLett.98.021101
20. E.G. Adelberger, B.R. Heckel, S.A. Hoedl, C.D. Hoyle, D.J. Kapner, A. Upadhye. Particle-physics implications of a recent test of the gravitational inverse-square law. Phys. Rev. Lett. 98, 131104 (2007).
https://doi.org/10.1103/PhysRevLett.98.131104
21. J.A.R. Cembranos, Modified gravity and dark matter. J. Phys. Conf. Ser. 718, 032004 (2016).
https://doi.org/10.1088/1742-6596/718/3/032004
22. A.A. Starobinsky. A new type of isotropic cosmological models without singularity. Phys. Lett. B 91, 99 (1980).
https://doi.org/10.1016/0370-2693(80)90670-X
23. R.A. Asanov. Static scalar and electric fields in Einstein's theory of relativity. Zh. 'Eksp. Teor. Fiz. 26, 424 (1968).
24. R.A. Asanov. Point source of massive scalar field in gravitational theory. Theor. Mat. Phys. 20, 667 (1974).
https://doi.org/10.1007/BF01038757
25. D.J. Rowan, G. Stephenson. The massive scalar meson field in a Schwarzschild background space. J. Phys. A 9, 1261 (1976).
https://doi.org/10.1088/0305-4470/9/8/014
26. Y. Akrami et al. (Planck Collaboration). Planck 2018 results. X. Constraints on inflation. Astron. Astrophys. 641, A10 (2020).
27. Y. Shtanov, V. Sahni, S.S. Mishra. Tabletop potentials for inflation from f(R) gravity. J. Cosmol. Astropart. Phys. 03, 023 (2023).
https://doi.org/10.1088/1475-7516/2023/03/023
28. V.I. Zhdanov, O.S. Stashko. Static spherically symmetric configurations with N nonlinear scalar fields: Global and asymptotic properties. Phys. Rev. D 101, 064064 (2020).
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