2003
DOI: 10.1103/physrevd.67.047501
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Uniqueness of the electrostatic solution in Schwarzschild space

Abstract: In this Brief Report we give the proof that the solution of any static test charge distribution in Schwarzschild space is unique. In order to give the proof we derive the first Green's identity written with p-forms on (pseudo) Riemannian manifolds. Moreover, the proof of uniqueness can be shown for either any purely electric or purely magnetic field configuration. The spacetime geometry is not crucial for the proof.

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Cited by 11 publications
(17 citation statements)
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“…Finally, the contribution of inelastic processes, such as gg ↔ ggg, to the opacity has also been neglected so far. A preliminary study shows [17] that this contribution can be similar to that of elastic processes.…”
Section: Solution To the Opacity Puzzlementioning
confidence: 77%
“…Finally, the contribution of inelastic processes, such as gg ↔ ggg, to the opacity has also been neglected so far. A preliminary study shows [17] that this contribution can be similar to that of elastic processes.…”
Section: Solution To the Opacity Puzzlementioning
confidence: 77%
“…Finally, the contribution of inelastic processes, such as gg ↔ ggg, to the opacity has also been neglected so far. A preliminary study shows [16] that this contribution can be similar to that of elastic processes.…”
Section: Possible Solution To the Opacity Puzzlementioning
confidence: 97%
“…Covariant parton transport theory [3,14,15,16,17,18] overcomes this problem via replacing the assumption of local equilibrium by that of a finite local mean free path λ(s, x) ≡ 1/σ(s)n(x). The theory then naturally interpolates between free streaming (λ = ∞) and ideal hydrodynamics (λ = 0).…”
mentioning
confidence: 99%
“…Eq. (2) could in principle be extended for bosons and/or for inelastic processes, such as gg ↔ ggg [31,32]. However, with the new nonlinearities these extensions introduce, it is very challenging to maintain Lorentz covariance numerically at opacities expected at RHIC.…”
Section: Covariant Parton Transport Theorymentioning
confidence: 99%