WebDec 1, 1997 · ABSTRACT The general metric of a stationary, axisymmetric spacetime that satisfies the Einstein vacuum equations is given by the Weyl-Papapetrou form which for … WebThe local symmetry group of the Ernst Equation for stationary, axisymmetric, vacuum space-time manifolds is computed by application of the method of Olver. Several implicit solutions of the equation are found by use of this group. Each of these solutions is given in terms of a function defined as a solution of an ordinary differential equation.
Separation of Variables and Hamiltonian Formulation for the Ernst …
WebAug 1, 2024 · This single equation, now known as the (elliptic) Ernst equation, has proved instrumental in the study and construction of stationary axisymmetric spacetimes, cf. … WebTo simplify the structure of Einstein’s equations, it is usual to postulate the existence of one or more Killing vector fields in the spacetime under consideration or, in less t kutub adalah
(PDF) Exact solution of a Neumann boundary value problem for …
Web2 Brief recall on the resolution of the Ernst equation The line element of a general axisymmetric stationary spacetime is the so called Papapetrou metric, which in the … Webpotential ǫ = f + ıΦ which leaves the Ernst equations covariants in form. The plane of this paper is the following. In section 2 we make an overview on the Ehlers method for vacuum solutions in relation with the Papapetrou gauge for stationary axisymmetric space-time and we find a functional re-lation between f and Φ. WebThe most generic axisymmetric and stationary spacetime, ... So the Ernst equations constitute the main equations for the physical system, because ... the at gradient and Laplacian in cylindrical Weyl coordinates (ˆ;z;’).4 The equations of motion for the stationary and axisymmetric complex Ernst poten-tials (2.5) and (2.6) can be deduced from ... jay group reno