Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
Rapid interstellar travel by means of spacetime wormholes is described in a way that is useful for teaching elementary general relativity. The description touches base with Carl Sagan's novel Contact, which, unlike most science fiction novels, treats such travel in a manner that accords with the best 1986 knowledge of the laws of physics. Many objections are given against the use of black holes or Schwarzschild wormholes for rapid interstellar travel. A new class of solutions of the Einstein field equations is presented, which describe wormholes that, in principle, could be traversed by human beings. It is essential in these solutions that the wormhole possess a throat at which there is no horizon; and this property, together with the Einstein field equations, places an extreme constraint on the material that generates the wormhole's spacetime curvature: In the wormhole's throat that material must possess a radial tension tau/sub 0/ with the enormous magnitude tau/sub 0/approx. (pressure at the center of the most massive of neutron stars) x (20 km)/sup 2//(circumference of throat)/sup 2/. Moreover, this tension must exceed the material's density of mass-energy, rho/sub 0/c/sup 2/. No known material has this tau/sub 0/>rho/sub 0/c/sup 2/ property, and such material would violate all the ''energy conditions'' that underlie some deeply cherished theorems in general relativity. However, it is not possible today to rule out firmly the existence of such material; and quantum field theory gives tantalizing hints that such material might, in fact, be possible.
- Research Organization:
- Theoretical Astrophysics, California Institute of Technology, Pasadena, California 91125
- OSTI ID:
- 5435651
- Journal Information:
- Am. J. Phys.; (United States), Vol. 56:5
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
BLACK HOLES
SPACE-TIME
RELATIVITY THEORY
ANALYTICAL SOLUTION
EINSTEIN FIELD EQUATIONS
SCHWARZSCHILD METRIC
SINGULARITY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
METRICS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation