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Technol Rep Tohoku Univ: GENERATION OF ANTI-GRAVITY ...

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RS Electrogravitic References<br />

and Godel universes as well as the general<br />

stationary, cylindrical, vacuum spacetimes.<br />

Paper: gr-qc/9310030<br />

From: khatsymovsky Date: Thu, 21 Oct 93<br />

16:39:25 +0100<br />

Can wormholes exist? V.Khatsymovsky, 10<br />

pages, Plain LaTeX, preprint UUITP-<br />

20/1993<br />

Renormalized vacuum expectation values of<br />

electromagnetic stress-energy tensor are<br />

calculated in the background sphericallysymmetrical<br />

metric of the wormhole's<br />

topology. Covariant geodesic point separation<br />

method of regularization is used. Violation of<br />

the weak energy condition at the throat of<br />

wormhole takes place for geometry sufficiently<br />

close to that of infinitely long wormhole of<br />

constant radius irrespectively of the detailed<br />

form of metric. This is an argument in favour<br />

of possibility of existence of selfconsistent<br />

wormhole in empty space maintained by<br />

vacuum field fluctuations in the wormhole's<br />

background.<br />

Paper: hep-th/9402046<br />

From: LANDI@SUHEP.PHY.SYR.EDU<br />

Date: Tue, 08 Feb 1994 15:09:39 -0500 (EST)<br />

<strong>GRAVITY</strong> AND ELECTROMAGNETISM<br />

IN NONCOMMUTATIVE GEOMETRY,<br />

Giovanni Landi, Nguyen Ai Viet, Kameshwar<br />

C.Wali, 1 + 11 pages, <strong>Rep</strong>ort # SU-4240-566,<br />

We present a unified description of gravity and<br />

electromagnetism in the framework of a Z2<br />

noncommutative differential calculus. It can be<br />

considered as a ``discrete version" of Kaluza-<br />

Klein theory, where the fifth continuous<br />

dimension is replaced by two discrete points.<br />

We derive an action which coincides with the<br />

dimensionally reduced one of the ordinary<br />

Kaluza-Klein theory.<br />

Paper: gr-qc/9404016<br />

From: David Garfinkle Date: Sun, 10 Apr<br />

1994 17:44:50 -0400<br />

Generating new magnetic universe solutions<br />

from old. By David Garfinkle and M.A.<br />

Melvin. 17 pages<br />

In this paper we apply the techniques which<br />

have been developed over the last few decades<br />

for generating nontrivially new solutions of the<br />

Einstein-Maxwell equations from seed<br />

solutions for simple spacetimes. The simple<br />

seed spacetime which we choose is the<br />

"magnetic universe" to which we apply the<br />

Ehlers transformation. Three interesting nonsingular<br />

metrics are generated. Two of these<br />

may be described as "rotating magnetic<br />

universes" and the third as an "evolving<br />

magnetic universe." Each is causally complete<br />

- in that all timelike and lightlike geodesics do<br />

not end in a finite time or affine parameter. We<br />

also give the electromagnetic field in each<br />

case. For the two rotating stationary cases we<br />

give the projection with respect to a stationary<br />

observer of the electromagnetic field into<br />

electric and magnetic components.<br />

Paper: gr-qc/9404065 (Phys. Rev. D50 (1994)<br />

6190) From: carroll@marie.mit.edu (Sean<br />

Carroll) Date: Sun, 1 May 1994 16:35:00 -<br />

0400<br />

Energy-Momentum Restrictions on the<br />

Creation of Gott Time Machines, by Sean M.<br />

Carroll, Edward Farhi, Alan H. Guth, and Ken<br />

D. Olum. Plain TeX, 41 pages incl. 9 figures.<br />

MIT-CTP #2252.<br />

The discovery by Gott of a remarkably simple<br />

spacetime with closed timelike curves (CTC's)<br />

provides a tool for investigating how the<br />

creation of time machines is prevented in<br />

classical general relativity. The Gott spacetime<br />

contains two infinitely long, parallel cosmic<br />

strings, which can equivalently be viewed as<br />

point masses in (2+1)-dimensional gravity. We<br />

examine the possibility of building such a time<br />

machine in an open universe. Specifically, we<br />

consider initial data specified on an edgeless,<br />

noncompact, spacelike hypersurface, for which<br />

the total momentum is timelike (i.e., not the<br />

momentum of a Gott spacetime). In contrast to<br />

the case of a closed universe (in which Gott<br />

pairs, although not CTC's, can be produced<br />

from the decay of stationary particles), we find<br />

that there is never enough energy for a Gottlike<br />

time machine to evolve from the specified<br />

data; it is impossible to accelerate two particles<br />

to sufficiently high velocity. Thus, the no-CTC<br />

theorems of Tipler and Hawking are enforced<br />

in an open (2+1)-dimensional universe by a<br />

mechanism different from that which operates<br />

in a closed universe. In proving our result, we<br />

Venik’s Aviation – www.aeronautics.ru; 31.10.2002 25

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