The Intrinsic Derivative and Centrifugal Forces in General Relativity: II. Applications to Circular Orbits in Some Familiar Stationary Axisymmetric Spacetimes
نویسندگان
چکیده
منابع مشابه
Magnetic Surfaces in Stationary Axisymmetric General Relativity
In this paper a new method is derived for constructing electromagnetic surface sources for stationary axisymmetric electrovac spacetimes endowed with non-smooth or even discontinuous Ernst potentials. This can be viewed as a generalization of some classical potential theory results, since lack of continuity of the potential is related to dipole density and lack of smoothness, to monopole densit...
متن کاملStationary and Axisymmetric Solutions of Higher-Dimensional General Relativity
We study stationary and axisymmetric solutions of General Relativity, i.e. pure gravity, in four or higher dimensions. D-dimensional stationary and axisymmetric solutions are defined as having D−2 commuting Killing vector fields. We derive a canonical form of the metric for such solutions that effectively reduces the Einstein equations to a differential equation on an axisymmetric D − 2 by D − ...
متن کاملRigidly Rotating Strings in Stationary Axisymmetric Spacetimes
In this paper we study a motion of a rigidly rotating Nambu-Goto test string in a stationary axisymmetric background spacetime. As special examples we consider rigid rotation of strings in a flat spacetime, where explicit analytic solutions can be obtained, and in the Kerr spacetime.
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولEquatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes. II
Theorems which allow one to single out “equatorially symmetric” or “equatorially antisymmetric” spacetimes from the totality of stationary axisymmetric electrovac solutions of the Einstein–Maxwell equations were recently published [1] by Ernst, Manko and Ruiz. Specifically, in terms of the complex Ernst potentials [2] E and Φ, equatorially symmetric spacetimes satisfy the conditions E(−z, ρ) = ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics D
سال: 1997
ISSN: 0218-2718,1793-6594
DOI: 10.1142/s021827189700011x