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Title:
Gravitational lensing effects of vacuum strings - Exact solutions
Authors:
Gott, J. R., III
Affiliation:
AA(Princeton University, Princeton, NJ)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 288, Jan. 15, 1985, p. 422-427. (ApJ Homepage)
Publication Date:
01/1985
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Computational Astrophysics, Einstein Equations, Gravitational Lenses, String Theory, Vacuum, Field Theory (Physics), Quasars, Relativity, Relic Radiation
DOI:
10.1086/162808
Bibliographic Code:
1985ApJ...288..422G

Abstract

Exact interior and exterior solutions to Einstein's field equations are derived for vacuum strings. The exterior solution for a uniform density vacuum string corresponds to a conical space while the interior solution is that of a spherical cap. For Mu equals 0-1/4 the external metric is ds-squared = -dt-squared + dr-squared + (1-4 Mu)-squared r-squared dphi-squared + dz-squared, where Mu is the mass per unit length in the string in Planck masses per Planck length. A maximum mass per unit length for a string is 6.73 x 10 to the 27th g/cm. It is shown that strings cause temperature fluctuations in the cosmic microwave background and produce equal brightness double QSO images separated by up to several minutes of arc. Formulae for lensing probabilities, image splittings, and time delays are derived for strings in a realistic cosmological setting. String searches using ST, the VLA, and the COBE satellite are discussed.

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