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Showing 1 to 5 of 5 for “"Einstein vacuum equations"”.
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Radiation field for Einstein vacuum equations
… the asymptotic behavior of solutions to the Einstein Vacuum equations, which are close to Minkowski space, at null infinity. By imposing harmonic gauge, the Einstein Vacuum equations reduce to a system of quasilinear wave equations on R"j". We show that if the space dimension n > 5 the Moller …
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Instabilities in asymptotically AdS spacetimes
… spacetimes $(\mathcal{M},g)$ as solutions to the Einstein vacuum equations \begin{align*} \mathrm{Ric}(g)=\frac{2}{n-2}\Lambda\, g \end{align*} with negative cosmological constant $\Lambda$. This has been motivated mainly by the conjectured instability of these solutions. The author of this thesis …
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Asymptotic description of the formation of black holes from short-pulse data
… formation of black holes in the four-dimensional Einstein vacuum equations from Christodoulou's short-pulse ansatz. We identify natural scaling in a putative solution metric and use the technique of real blowup to propose a desingularized manifold and an associated rescaled tangent bundle (which …
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Mathematical Studies on the Asymptotic Behaviour of Gravitational Radiation in General Relativity
… Our constructions either concern the nonlinear Einstein-Scalar field equations under the assumption of spherical symmetry, or the system of linearised gravity around Schwarzschild with no symmetry assumptions, but the methods employed are capable of generalisation to the nonlinear Einstein …
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A Scattering Theory for Linearised Gravity on the Exterior of the Schwarzschild Black Hole
… construct a scattering theory for the linearised Einstein equations on a Schwarzschild background in a double null gauge. We perform this construction in two parts. In Part I, we construct a scattering theory for the spin ±2 Teukolsky equations, which govern certain the extremal, gauge-invariant …