The Einstein-Equations for One Killing-Vector Five-Space
نویسندگان
چکیده
منابع مشابه
Quasi-stationary binary inspiral I: Einstein equations for the two Killing vector spacetime
The inspiral of a binary system of compact objects due to gravitational radiation is investigated using the toy model of two infinitely long lines of mass moving in a fixed circular orbit. The two Killing fields in the toy model are used, according to a formalism introduced by Geroch, to describe the geometry entirely in terms of a set of tensor fields on the two-manifold of Killing vector orbi...
متن کاملPhase Space for the Einstein Equations
A Hilbert manifold structure is described for the phase space F of asymptotically flat initial data for the Einstein equations. The space of solutions of the constraint equations forms a Hilbert submanifold C ⊂ F . The ADM energy-momentum defines a function which is smooth on this submanifold, but which is not defined in general on all of F . The ADM Hamiltonian defines a smooth function on F w...
متن کاملQuasi-stationary Binary Inspiral. I. Einstein Equations for the Two Killing Vector Spacetime * Typeset Using Revt E X
The inspiral of a binary system of compact objects due to gravitational radiation is investigated using the toy model of two infinitely long lines of mass moving in a fixed circular orbit. The two Killing fields in the toy model are used, according to a formalism introduced by Geroch, to describe the geometry entirely in terms of a set of tensor fields on the two-manifold of Killing vector orbi...
متن کاملExistence of Extremal Solutions for Impulsive Delay Fuzzy Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space
In this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. Weshow that obtained result is an extension of the result ofRodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.
متن کاملSoliton solutions to the einstein equations in five dimensions.
We present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or a negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson-(anti)-de Sitter [(A)dS] metrics, with the added feature of having Lorentzian signatures. They provide an affirmative answer to the open question as to whether or not there exist solutions with...
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: Progress of Theoretical Physics
سال: 1977
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.57.426