منابع مشابه
0 Uniqueness properties of the Kerr metric Marc Mars
We obtain a geometrical condition on vacuum, stationary, asymptotically flat spacetimes which is necessary and sufficient for the spacetime to be locally isometric to Kerr. Namely, we prove a theorem stating that an asymptotically flat, stationary, vacuum spacetime such that the so-called Killing form is an eigenvector of the self-dual Weyl tensor must be locally isometric to Kerr. Asymptotic f...
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15 صفحه اولOn the stability of the Kerr metric
The reduced (in the angular coordinate φ) wave equation and Klein-Gordon equation are considered on a Kerr background and in the framework of C-semigroup theory. Each equation is shown to have a well-posed initial value problem, i.e., to have a unique solution depending continuously on the data. Further, it is shown that the spectrum of the semigroup’s generator coincides with the spectrum of a...
متن کاملA spacetime characterization of the Kerr metric
We obtain a characterization of the Kerr metric among stationary, asymptotically flat, vacuum spacetimes, which extends the characterization in terms of the Simon tensor (defined only in the manifold of trajectories) to the whole spacetime. More precisely, we define a three index tensor on any spacetime with a Killing field, which vanishes identically for Kerr and which coincides in the strictl...
متن کاملThe Magnetorotational Instability in the Kerr Metric
The magnetorotational instability (MRI) is the leading candidate for driving turbulence, angular momentum transport, and accretion in astrophysical disks. I consider the linear theory of the MRI in a thin, equatorial disk in the Kerr metric. I begin by analyzing a mechanical model for the MRI that consists of two point masses on nearly circular orbits connected by a spring. I then develop a loc...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2000
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/17/16/317