Abstract
We consider the matter of global textures withinthe frameworks of a perfect fluid model in generalrelativity. We examine thermodynamical properties oftexture matter in comparison with radiation fluid and bubble matter. Then we study dynamics ofthin-wall selfgravitating texture objects, and show thatclassical motion can be elliptical (finite), parabolicalor hyperbolical. It is shown that total gravitational mass of neutral textures in equilibrium equalszero, as was expected. Finally, we carry out theWheeler-DeWitt minisuperspace quantization of thetheory, obtain exact wave functions and discrete spectra of bound states with provision for spatialtopology.
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REFERENCES
Davis, R. L. (1987). Phys. Rev. D 35, 3705; (1987). Gen. Rel. Grav. 19, 331; Kamionkowski, M., and Toumbas, N. (1996). Phys. Rev. Lett. 77, 587; Dadhich, N., and Narayan, K. (1997). “An ansatz for spacetimes of zero gravitational mass: global monopoles and textures.” Preprint IUCAA-32/97; Dadhich, N. (1997). “A Duality Relation: Global Monopole and Texture.” Preprint IUCAA-60/97.
Turok, N. (1989). Phys. Rev. Lett. 63, 2625; Nötzold, D. (1991). Phys. Rev. D 43, R961; Barriola, M., and Vachaspati, T. (1991). Phys. Rev. D 43, 1056; Barabash, O. V., and Shtanov, Yu. V. (1998). Phys. Rev. D 58, 085015.
Lanczos, C. (1922). Phys. Zeits. 23, 539; (1924). Ann. der Phys. 74, 518.
Dautcourt, G. (1964). Math. Nachr. 27, 277.
Israel, W. (1966). Nuovo Cimento B 44, 1; B 48, 463.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973). Gravitation (W. H. Freeman, San Francisco).
Barrabés, C., and Bressange, G. F. (1997). Class. Quantum Grav. 14, 805.
Visser, M. (1995). Lorentzian wormholes — from Einstein to Hawking (AIP, New York).
Mann, R. (1997). Class. Quantum Grav. 14, 2927.
Vilenkin, A. (1994). Phys. Rev. D 50, 2581.
Hájíček, P., Kay, B. S., and Kuchař, K. V. (1992). Phys. Rev. D 46, 5439.
Zloshchastiev, K. G. (1998). Phys. Rev. D 57, 4812; (1999). Int. J. Mod. Phys. D 8, 165; (1999). Class. Quantum Grav. 16, 1737.
Rajaraman, R. (1988). Solitons and Instantons (North-Holland, Amsterdam).
Jahnke, E., Emde, F., and Lösch, F. (1960). Tafeln Höherer Funktionen (Teubner, Stuttgart).
Moon, F. C. (1987). Chaotic Vibrations (Wiley, New York).
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Zloshchastiev, K.G. Evolution of Thin-wall Configurations ofTexture Matter. General Relativity and Gravitation 31, 1821–1835 (1999). https://doi.org/10.1023/A:1026782721198
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DOI: https://doi.org/10.1023/A:1026782721198