A space–time in toroidal coordinates
dc.contributor.author | Krisch, Jean P. | en_US |
dc.contributor.author | Glass, E. N. | en_US |
dc.date.accessioned | 2010-05-06T23:06:22Z | |
dc.date.available | 2010-05-06T23:06:22Z | |
dc.date.issued | 2003-07 | en_US |
dc.identifier.citation | Krisch, J. P.; Glass, E. N. (2003). "A space–time in toroidal coordinates." Journal of Mathematical Physics 44(7): 3046-3058. <http://hdl.handle.net/2027.42/71037> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/71037 | |
dc.description.abstract | We present an exact solution of Einstein’s field equations in toroidal coordinates. The solution has three regions: an interior with a string equation of state; an Israel boundary layer; and an exterior with constant isotropic pressure and constant density, locally isometric to anti–de Sitter space–time. The exterior can be a cosmological vacuum with negative cosmological constant. The size and mass of the toroidal loop depend on the size of Λ. © 2003 American Institute of Physics. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 101515 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | A space–time in toroidal coordinates | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Physics, University of Michigan, Ann Arbor, Michgan 48109 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/71037/2/JMAPAQ-44-7-3046-1.pdf | |
dc.identifier.doi | 10.1063/1.1580999 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
dc.identifier.citedreference | S. Aminneborg, I. Bengtsson, S. Holst, and P. Peldan, Class. Quantum Grav. CQGRDG13, 2707 (1996). | en_US |
dc.identifier.citedreference | W. L. Smith and R. B. Mann, Phys. Rev. D PRVDAQ56, 4942 (1997). | en_US |
dc.identifier.citedreference | J. P. S. Lemos, Phys. Rev. D PRVDAQ57, 4600 (1998). | en_US |
dc.identifier.citedreference | O. J. C. Dias and J. P. S. Lemos, “Magnetic strings in anti-de Sitter General Relativity,” hep-th/0110202. | en_US |
dc.identifier.citedreference | D. R. Brill, J. Louko, and P. Peldan, Phys. Rev. D PRVDAQ56, 3600 (1997). | en_US |
dc.identifier.citedreference | L. Vanzo, Phys. Rev. D PRVDAQ56, 6475 (1997). | en_US |
dc.identifier.citedreference | J. V. Narlikar, R. G. Vishwakarma, and G. Burbidge, “Interpretations of the Accelerating Universe,” astro-ph/0205064. | en_US |
dc.identifier.citedreference | S. W. Hawking and D. N. Page, Commun. Math. Phys. CMPHAY87, 57 (1983). | en_US |
dc.identifier.citedreference | M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. PRLTAO69, 1849 (1992). | en_US |
dc.identifier.citedreference | M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. D PRVDAQ49, 975 (1994). | en_US |
dc.identifier.citedreference | A. W. Peet, “TASI Lectures on Black Holes in String Theory,” TASI-99, hep-th/0008241. | en_US |
dc.identifier.citedreference | W. Israel, Phys. Rev. D PRVDAQ15, 935 (1977). | en_US |
dc.identifier.citedreference | V. P. Frolov, W. Israel, and W. G. Unruh, Phys. Rev. D PRVDAQ39, 1084 (1989). | en_US |
dc.identifier.citedreference | S. J. Hughes, D. J. McManus, and M. A. Vandyck, Phys. Rev. D PRVDAQ47, 468 (1993). | en_US |
dc.identifier.citedreference | A. A. Sen and N. Banerjee, Astrophys. Space Sci. APSSBE259, 301 (1998). | en_US |
dc.identifier.citedreference | W. Magnus and F. Oberhettinger, Formulas and Theorems for the Functions of Mathematical Physics (Springer, New York, 1954). | en_US |
dc.identifier.citedreference | G. Arfken, Mathematical Methods for Physicists, 2nd ed. (Academic, New York, 1970). | en_US |
dc.identifier.citedreference | C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, New York, 1973). | en_US |
dc.identifier.citedreference | R. M. Wald, General Relativity (University of Chicago, Chicago, 1984). | en_US |
dc.identifier.citedreference | I. Brevik and H. B. Nielsen, Phys. Rev. D PRVDAQ41, 1185 (1990). | en_US |
dc.owningcollname | Physics, Department of |
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