Abstract
Within standard Newtonian gravity, galactic dark matter is modelled by a scalar field in order to effectively modify Kepler's law. In particular, we show that a solvable toy model with a self-interaction U(Φ) borrowed from non-topological solitons produces already qualitatively correct rotation curves. Although relativistic effects in the halo are very small, we indicate corrections arising from the general relativistic formulation.
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REFERENCES
Zwicky, F. (1993). Helv. Phys. Acta 6, 110.
Kochanek, C. S. (1996). Astrophys. J. 457, 228.
Zaritzky, D., Smith, R., Frenk, C. S., and White, S. D. M. (1996). Preprint astro-ph/9611199.
Persic, M., Salucci, P., and Stel, F. (1996). Mon. Not. R. Astr. Soc. 281, 27.
Sciama, D.W. (1993). Modern Cosmology and the Dark Matter Problem (Cambridge University Press, Cambridge).
Smith, R. (1995). Observational Astrophysics (Cambridge University Press, Cambridge).
Burkert, A. (1995). Astrophys. J. 447, L25.
Burkert, A. and Silk, J. (1999). Preprint astro-ph/9904159.
Zhytnikov, V. V. and Nester, J. M. (1994). Phys. Rev. Lett. 73, 2950.
Mielke, E. W. and Schunck, F. E. (2000). Nucl. Phys. B 564, 185.
Alcock, C. et al. (1995). Phys. Rev. Lett. 74, 2867.
Schunck, F. E. (1996). Selbstgravitierende Bosonische Materie, Ph.D. thesis, University of Cologne (Cuvillier Verlag, Göttingen).
Schunck, F. E. (1997). In Aspects of Dark Matter in Astro-and Particle Physics, H. V. Klapdor-Kleingrothaus and Y. Ramachers (eds.) (World Scientific, Singapore), pp. 403–408.
Schunck, F. E. (1998). Preprint astro-ph/9802258.
Schunck, F. E. (1999). Proceedings of the Eigth Marcel Grossman Meeting on General Relativity, Jerusalem, 1997, T. Piran and R. Ruffini (eds.) (World Scientific, Singapore), pp. 1447–1449.
Spergel, D. N. and Steinhardt, P. J. (2000). Phys. Rev. Lett. 84, 3760.
Riotto, A. and Tkachev, I. (2000). Phys. Lett. B 484, 177.
Rubin, V. C., Ford, W. K., Jr., and Thonnard, N. (1980). Astrophys. J. 238, 471.
Rubin, V. C., Burstein, D., Ford, W. K., Jr., and Thonnard, N. (1985). Astrophys. J. 289, 81.
Mielke, E. W. (1978). Phys. Rev. D 18, 4525; (1979). Lett. Nuovo Cim. 25, 424.
Matos, T., Guzman, F. S., and Nunez, D. (2000). Phys. Rev. D 62, 061301 (R).
Mielke, E. W. and Scherzer, R. (1981). Phys. Rev. D 24, 2111.
Kusmartsev, F. V., Mielke, E. W., and Schunck, F. E. (1991). Phys. Rev. D 43, 3895.
Kusmartsev, F. V., Mielke, E. W., and Schunck, F. E. (1991). Phys. Lett. A 157, 465.
Schunck, F. E., Kusmartsev, F. V., and Mielke, E. W. (1992). In Approaches to Numerical Relativity, R. d'Inverno (Ed.) (Cambridge University Press, Cambridge), pp. 130–140.
Kusmartsev, F.V. and Schunck, F. E. (1993). In Classical and Quantum Systems—Foundations and Symmetries, Proceedings of the 2nd International Wigner Symposium, Goslar, 16–20 July 1991,</del>H. D. Doebner, W. Scherer, and F. E. Schroeck (Eds.) (World Scientific, Singapore), pp. 766–769. Kusmartsev, F. V. and Schunck, F. E. (1992). Physica B 178, 24.
Schunck, F. E. and Liddle, A. R. (1997). Phys. Lett. B 404, 25.
Lee, T. D. and Pang, Y. (1992). Phys. Rep. 221, 251.
Gleiser, M. (1989). Phys. Rev. Lett. 63, 1199.
Lynn, B. W. (1989). Nucl. Phys. B 321, 465.
Nucamendi, U. Salgado, M., and Sudarsky, D. (2001). Phys. Rev. D 63, 12016.
Wald, R. M. (1984). General Relativity (University of Chicago Press, Chicago), p. 78.
Mielke, E. W. and Schunck, F. E. (2001). Phys. Rev. D 66, 023503.
Salucci, P. and Burkert, A. (2000). Astrophys. J. 537, L9.
Kratsov, A. V., Klypin, A. A., Bullock, J. S., and Primack, J. R. (1998). Astrophys. J. 502, 48.
Shapiro, P. R., Iliev, I. T., and Raga, A. C. (1999). Mon. Not. R. Astr. Soc. 307, 203.
Iliev, I. T. and Shapiro, P. R. (2001). Astrophys. J. 546, L5.
Mielke, E.W. and Schunck, F. E. (1996). In Gravity, Particles and Space–Time, P. Pronin and G. Sardanashvily (eds.) (World Scientific, Singapore), pp. 391–420.
Barriola, M. and Vilenkin, A. (1989). Phys. Rev. Lett. 63, 341; Turok, N. and Spergel, D. (1990). Phys. Rev. Lett. 64, 2736.
Mielke, E. W. and Schunck, F. E. (1995). Phys. Rev. D 52, 672.
Mielke, E. W. and Schunck, F. E. (2001). Gen. Rel. Grav. 33, 805.
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Mielke, E.W., Schunck, F.E. & Peralta, H.H. Scalar Soliton in Newtonian Gravity Modelling Dark Matter Halos. General Relativity and Gravitation 34, 1919–1930 (2002). https://doi.org/10.1023/A:1020728411087
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DOI: https://doi.org/10.1023/A:1020728411087