Abstract
We obtain more straightforwardly some features of dark matter distribution in the halos of galaxies by considering the spherically symmetric space-time, which satisfies the flat rotational curve condition, and the geometric equation of state resulting from the modified gravity theory. In order to measure the equation of state for dark matter in the galactic halo, we provide a general formalism taking into account the modified \(f(X)\) gravity theories. Here, \(f(X)\) is a general function of \(X \in \{ R, \mathcal{G}, T \}\), where \(R\), \(\mathcal{G}\) and \(T\) are the Ricci scalar, the Gauss-Bonnet scalar and the torsion scalar, respectively. These theories yield that the flat rotation curves appear as a consequence of the additional geometric structure accommodated by those of modified gravity theories. Constructing a geometric equation of state \(w_{{X}} \equiv p_{{X}} / \rho _{{X}}\) and inspiring by some values of the equation of state for the ordinary matter, we infer some properties of dark matter in galactic halos of galaxies.
Similar content being viewed by others
References
Ackerman, L., Buckley, M.R., Carroll, S.M., Kamionkowski, M.: Dark matter and dark radiation. Phys. Rev. D 79, 023519 (2009)
Arbey, A., Lesgourgues, J., Salati, P.: Galactic halos of fluid dark matter. Phys. Rev. D 68, 023511 (2003)
Bahamonde, S., Camci, U.: Exact spherically symmetric solutions in modified teleparallel gravity. Symmetry 11, 1462 (2019)
Bahamonde, S., Dialektopoulas, K., Camci, U.: Exact spherically symmetric solutions in modified Gauss-Bonnet gravity from Noether symmetry approach. Symmetry 12, 68 (2020a)
Bahamonde, S., Said, J.L., Zubair, M.: Solar system tests in modified teleparallel gravity. J. Cosmol. Astropart. Phys. 10, 024 (2020b)
Bharadwaj, S., Kar, S.: Modeling galaxy halos using dark matter with pressure. Phys. Rev. D 68, 023516 (2003)
Bode, P., Ostriker, J.P., Turok, N.: Halo formation in warm dark matter models. Astrophys. J. 556, 93 (2001)
Böhmer, C.G., Harko, T., Lobo, F.S.N.: Dark matter as a geometric effect in \(f(R)\) gravity. Astropart. Phys. 29, 386 (2008)
Capozziello, S., Cardone, V.F., Troisi, A.: Low surface brightness galaxy rotation curves in the low energy limit of \(R^{n}\) gravity: no need for dark matter? Mon. Not. R. Astron. Soc. 375, 1423 (2007a)
Capozziello, S., Stabile, A., Troisi, A.: Spherically symmetric solutions in \(f(R)\) gravity via the Noether symmetry approach. Class. Quantum Gravity 24, 2153 (2007b)
Carignan, C., Purton, C.: The total mass of DDO154. Astrophys. J. 506, 125 (1998)
Finch, A., Said, J.L.: Galactic rotation dynamics in \(f(T)\) gravity. Eur. Phys. J. C 78, 560 (2018)
Frank, B.S., De Blok, W.J.G., Walter, F., Leroy, A., Carignan, C.: The impact of molecular gas on mass models of nearby galaxies. Astron. J. 151, 94 (2016)
Kamada, A., Kaplinghat, M., Pace, A.B., Yu, H.-B.: Self-interacting dark matter can explain diverse galactic rotation curves. Phys. Rev. Lett. 119, 111102 (2017)
Matos, T., Guzmán, F.S., Ureña-López, L.A.: Scalar field as dark matter in the universe. Class. Quantum Gravity 17, 1707 (2000a)
Matos, T., Guzmán, F.S., Núñez, D.: Spherical scalar field halo in galaxies. Phys. Rev. D 62, 061301(R) (2000b)
Peebles, P.J.E.: Dynamics of a dark matter field with a quartic self-interaction potential. Astrophys. J. 534, L127 (2000). Phys. Rev. D 62, 023502 (2000)
Perlmutter, S., et al. (Supernova Cosmology Project Collaboration): Measurements of \(\Omega \) and \(\Lambda \) from 42 high-redshift supernovae. Astrophys. J. 517, 565 (1999)
Riess, A.G., et al. (Supernova Search Team Collaboration): Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astrophys. J. 116, 1009 (1998)
Ruggiero, M.L., Radicella, N.: Weak-field spherically symmetric solutions in \(f(T)\) gravity. Phys. Rev. D 91, 104014 (2015)
Sellwood, J.A.: In: Merritt, D.R., Valluri, M., Sellwood, J.A. (eds.) Galaxy Dynamics: A Rutgers Symposium. ASP Conference Series, vol. 182 (1999). San Francisco. arXiv:astro-ph/9903184
Soleng, H.H.: Dark matter and non-Newtonian gravity from general relativity coupled to a fluid of strings. Gen. Relativ. Gravit. 27, 367 (1995)
Tulin, S., Yu, H.: Dark matter self-interactions and small scale structure. Phys. Rep. 730, 1 (2018)
Wechsler, R.H., Tinker, J.L.: The connection between galaxies and their dark matter halos. Annu. Rev. Astron. Astrophys. 56, 435 (2018)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Camci, U. On dark matter as a geometric effect in the galactic halo. Astrophys Space Sci 366, 91 (2021). https://doi.org/10.1007/s10509-021-03997-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-021-03997-5