Initial-Value Problem on Einstein-Rosen Manifolds
Journal Article
·
· Journal of Mathematical Physics
A class of solutions of the time-symmetric initial-vaiue equations for gravitation and electromagnetism is obtained on a two-sheeted manifold containing N Einstein-Rosen bridges. The initial metric tensor and electric field are expressed in terms of a pair of harmonic functions, called metric potentials,'' which are required to be analytic and asymptotically flat and to satisfy certain match-up conditions; these potentials are then determined by applying the method of inversion images. The particular case of two identical Einstein-Rosen bridges is examined in detail, and is shown to correspond to a wormhole in an asymptotically flat (one-sheeted) universe. A charge and renormalized mass are defined for each Einstein-Rosen bridge, as well as an interaction energy (gravitational plus electrostatic potential energy) for the system as a whole. Expressions for these and other physical characteristics are evaluated explicitly in the two-body case.
- Research Organization:
- Adelphi Coll., Garden City, N.Y.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-031143
- OSTI ID:
- 4688732
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 4; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
INTERACTION ENERGY IN GEOMETROSTATICS
Einstein–Rosen waves and the Geroch group
Time-asymmetric initial data for black holes and black-hole collisions
Journal Article
·
Mon Jul 01 00:00:00 EDT 1963
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
·
OSTI ID:4668798
Einstein–Rosen waves and the Geroch group
Journal Article
·
Tue Aug 10 20:00:00 EDT 2021
· Journal of Mathematical Physics
·
OSTI ID:1839904
Time-asymmetric initial data for black holes and black-hole collisions
Journal Article
·
Mon Apr 14 23:00:00 EST 1980
· Phys. Rev., D; (United States)
·
OSTI ID:5392738