On a general class of wormhole geometries
Abstract
A general class of solutions is obtained which describe a spherically symmetric wormhole system. The presence of arbitrary functions allows one to describe infinitely many wormhole systems of this type. The source of the stressenergy supporting the structure consists of an anisotropic brown dwarf `star' which smoothly joins the vacuum and may possess an arbitrary cosmological constant. It is demonstrated how this set of solutions allows for a nonzero energy density and therefore allows positive stellar mass as well as how violations of energy conditions may be minimized. Unlike examples considered thus far, emphasis here is placed on construction by manipulating the matter field as opposed to the metric. This scheme is generally more physical than the purely geometric method. Finally, explicit examples are constructed including an example which demonstrates how multiple closed universes may be connected by such wormholes. The number of connected universes may be finite or infinite.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2001
 DOI:
 10.1088/02649381/18/7/304
 arXiv:
 arXiv:grqc/0009072
 Bibcode:
 2001CQGra..18.1187D
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics
 EPrint:
 28 pages, 4 figures, AMS. Updated version contains more analysis at the throat junction, corrected typos, added references. Accepted for publication in Classical and Quantum Gravity