Abstract
In theories of gravitation in which dimensional parameters are dynamically induced, one can have non-topological-soliton solutions. This article reviews related topics connected with such solutions.
The existence of such solutions in curved spacetime can give rise to halos of gravity (g-) balls with the “gravitational constant” having different values inside and outside the ball.
Such g-balls can have quite an interesting bearing on the dark matter problem over galactic and cluster scales. We describe the origin of such solutions and speculate on related problems in Cosmology. Such objects would naturally occur in a large class of induced gravity models in which we have scalar fields non minimally coupled to the scalar curvature.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abbot, L.F. and Deser, S.: 1982,Nucl. Phys. B 195, 76.
Adler, S.L.: 1982,Rev. Mod. Phys. 54, 729.
Brans, C. and Dicke, R.: 1961,Phys. Rev. 124, 925; 1962,Phys. Rev. 125, 2163.
Callan, C., Coleman, S. and Jackiw, R.: 1970,Ann. Phys. 59, 42.
Coleman, S.: 1985,Nucl. Phys. B 262, 263.
Coleman, S. and Deluccia, F.: 1980,Phys Rev. D 21, 3305.
Derrick, G.H.: 1964,J. Math. Phys. 5, 1252.
Deser, S.: 1970,Ann. Phys. 59, 248.
Gross, D.J. and Neveu, A.: 1974,Phys. Rev. D 10, 3235.
Hepp, K.: 1965,Comm. Math. Phys. 1, 95.
Hoyle, F. and Narlikar, J.V.: 1964,Proc. Roy. Soc. (London) A 282, 190.
Illiopolous, J., Itzykson, C. and Martin, A.: 1975,Rev. Mod. Phys. 47, 165.
Kibble, T.W.: 1982, in:Quantum Gravity, Oxford Symposium,
MacCallum, M.A.H.: 1979, in: S.W. Hawking and W. Israel (eds.),General Relativity - An Einstein Centenary Volume.
Mohapatra, R.N. and Senjanovic, G.: 1979,Phys. Rev. Letters 42, 1651.
Padmanabhan, T.: 1994,Cosmology Today - Models and Constraints, VIth IAU meeting on Astronomy.
Rajararnan, R.: 1982,Solitons and Instantons, North-Holland.
Rindler, W.: 1956,Monthly Not. Roy. Astr. Soc. 116, 663.
Scherrer, W.: 1950,Helv. Phys. Acta 23, 547.
Sher, M.: 1989,Phys. Rep. 179, 273.
Stelle, K.S.: 1977,Phys. Rev. D 16, 953.
Stevenson, P.M.: 1981,Ann. Phys. (NY) 132, 383.
Weinberg, S.: 1974,Phys. Rev. D 9, 3357; 1982,Gravitation and Cosmology, Wiley, New York.
Zee A., in: A. Zee (ed.),Unity of forces in the Universe Vol. II, World Scientific (1982), p. 1062; 1979,Phys. Rev. Letters 42, 417; 198,Phys. Rev. D 23, 858; 1980,Phys. Rev. Letters 44, 703.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lohiya, D. Non-topological solitons in non-minimally coupled scalar fields: theory and consequences. Astrophys Space Sci 232, 1–22 (1995). https://doi.org/10.1007/BF00627539
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00627539