Boundary value problems in general relativity
Giovanni Cimatti
TL;DR
This paper explores boundary value problems in general relativity with axial symmetry, establishing key theorems and presenting a solution connected to classical fluid mechanics.
Contribution
It introduces new theorems on existence, non-existence, and uniqueness for these boundary value problems using Weyl's metric, and links a relativistic solution to classical Poiseuille flow.
Findings
Theorems on existence, non-existence, and uniqueness are established.
A relativistic solution related to classical Poiseuille flow is provided.
The work advances understanding of boundary problems in axially symmetric general relativity.
Abstract
Certain theorems of existence, non-existence and uniqueness for boundary value problems modelling axial symmetric problems in general relativity are presented using the Weyl's metric. A solution related to the classical Poiseuille of non-relativistic fluid mechanics is also presented.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic and Geometric Analysis · Geophysics and Gravity Measurements