Journal ArticleDOI
Does a static solution exist for a gravitating planar wall
A. D. Dolgov,I. B. Khriplovich +1 more
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In this paper, it was shown that no static nonsingular solution of the general relativity equations exists for the gravitational field of an uniformly planar matter distribution under very general assumptions.Abstract:
It is shown that, under very general assumptions, no static nonsingular solution of the general relativity equations exists for the gravitational field of an uniformly planar matter distribution.read more
Citations
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Supergravity Domain Walls
Mirjam Cvetič,Harald H. Soleng +1 more
TL;DR: In this paper, the authors review the status of domain walls in N = 1 supergravity theories for the vacuum domain walls as well as dilatonic domain walls and provide a systematic analysis of the space-time in these domain wall backgrounds and the special role that supersymmetry is playing in determining the nature of such configurations.
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On the sources of static plane symmetric vacuum space-times
TL;DR: In this paper, it is argued that the counterpart of the Einstein theory to the gravitational field of a massive Newtonian plane should be described by the Rindler solution, which represents also a uniform gravitational field, and the test particles moving in which have constant accelerations.
Journal ArticleDOI
Supergravity Domain Walls
Mirjam Cvetič,Harald H. Soleng +1 more
TL;DR: In this paper, the status of domain walls in supergravity theories for both the vacuum domain walls as well as dilatonic domain walls is reviewed and a systematic analysis of the nature of the space-time in such domain wall backgrounds is presented.
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Energy-momentum balance in a particle domain wall perforating collision
TL;DR: In this paper, the energy-momentum balance in the perforating collision of a point particle with an infinitely thin planar domain wall within the linearized gravity in arbitrary dimensions is investigated.
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A new class of plane symmetric solution
TL;DR: In this article, a new class of static plane symmetric solution of the Einstein field equation generated by a perfect fluid source is proposed and the constraints on the parameters by different energy conditions are studied.
References
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Journal ArticleDOI
Gravitational field of vacuum domain walls
TL;DR: In this paper, an exact solution of Einstein's equations describing the gravitational field of a plane vacuum domain wall was found, which has event horizons, has no true geometric singularities, and is locally flat everywhere except on the wall itself.
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A plane symmetric solution of Einstein's field equations of general relativity containing zero-rest-mass scalar fields
TL;DR: In this paper, an exact static solution of Einstein's field equations of general relativity in the presence of zero-rest-mass scalar fields has been obtained when both the metric tensor gij and the zero-position scalar field φ exhibit plane symmetry in the sense of Taub [9].
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Domain walls of finite thickness in general relativity
TL;DR: The case of a domain wall of finite thickness is examined and it is found that the equations of general relativity show that such walls cannot be in static equilibrium, and further even nonequilibrium walls can be consistent with Einstein's equations only under very special circumstances.
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Non-reflection-symmetric gravitational field of domain walls
TL;DR: In this article, non-reflection-symmetric solutions for the gravitational field of domain walls are derived and the vacuum solutions outside of the walls are the static Kasner solution.
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Static Planar Domain Wall in General Relativity with a Cosmological Constant
TL;DR: In this article, the existence of a static planar domain wall in the case of a negative cosmological constant was proved. But the authors used a simple scalar field to obtain the thin-wall approximation.