On stationary solutions to the vacuum Einstein field equations
نویسندگان
چکیده
منابع مشابه
On Stationary Vacuum Solutions to the Einstein Equations
A stationary space-time (M,g) is a 4-manifold M with a smooth Lorentzian metric g, of signature (−,+,+,+), which has a smooth 1-parameter group G ≈ R of isometries whose orbits are time-like curves in M . We assume throughout the paper that M is a chronological space-time, i.e. M admits no closed time-like curves, c.f. §1.1 for further discussion. Let S be the orbit space of the action G. Then ...
متن کاملSymmetric Vacuum Einstein Field Equations
According to Birkhoff’s theorem the only spherically symmetric solution of the vacuum Einstein field equations is the Schwarzschild solution. Inspite of imposing asymptotically flatness and staticness as initial conditions we obtain that these equations have general solutions with the Schwarzschild metric as merely a special and simplest form of them. It is possible to have perfect and smooth m...
متن کاملRemarks on Papapetrou Class of Vacuum Solutions of Einstein Equations
Class of axially symmetric solutions of vacuum Einstein field equations including the Papapetrou solution as particular case has been found. It has been shown that the derived solution describes the external axial symmetric gravitational field of the source with nonvanishing mass. The general solution is obtained for this class of functions. As an example of physical application, the spacetime ...
متن کاملExact Vacuum Solutions to the Einstein Equation
In this paper, we present a framework for getting a series of vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can be reduced to some 2-dimensional Laplace-like equations or rotation and divergence equations, which are much convenient for the resolution. PACS numbers: 04.20-q, 0...
متن کاملA new class of vacuum solutions of the Einstein field equations
TheKerr solution is today textbookmaterial and a basic element of education in relativity. However, derivations of it are not easy to find in the literature—most textbooks and monographs simply quote it as a given thing. There exist several uniqueness theorems (see part 2 of this note) that refer to physical and geometrical properties of the Kerr solution, but none of them gives a hint on how t...
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: Asian Journal of Mathematics
سال: 2019
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2019.v23.n4.a4