On General Solutions in Einstein Gravity
نویسنده
چکیده
We show how the Einstein equations with cosmological constant (and/or various types of matter field sources) can be integrated in a very general form following the anholonomic frame method for constructing exact solutions in four and five dimensional gravity.
منابع مشابه
دستهای از جوابهای دقیق گرانش با مشتقات بالاتر در چهار بعد
In this paper we consider the action of higher derivative gravity up to the second order terms in the scalars made from the Ricci scalar, Ricci and Riemann tensors. We use the Bach- Lanczos identity of the Weyl tensor in four dimensions and show that the solutions of 4-dimensional Einstein equations with cosmological constant term in vacuum, which are known as Einstein metrics, satisfy the fie...
متن کاملGeneral Solutions for Field Equations in Einstein and High Dimensional Gravity
We prove that the Einstein equations can be solved in general form, for any spacetime dimension and various types of energy–momentum tensors following the anholonomic frame method for constructing exact solutions in gravity. In this work, we give proofs and extend to higher dimensions the results for four and five dimensional spacetimes provided in arXiv: 0909.3949 [gr-qc], version 1.
متن کاملSpinning cosmic strings: a general class of solutions
In this work, we give a general class of solutions of the spinning cosmic string in Einstein’s theory of gravity. After treating same problem in Einstein Cartan (EC) theory of gravity, the exact solution satisfying both exterior and interior space-times representing a spin fluid moving along the symmetry axis is presented in the EC theory. The existence of closed timelike curves in this spaceti...
متن کاملExact Solutions with Noncommutative Symmetries in Einstein and Gauge Gravity
We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five dimensional (5D) gravity and (anti) de Sitter gauge gravity. Such solutions are generated by anholonomic frame transforms and parametrized by generic off–diagonal metrics. For certain particular cases, the new classes of metrics h...
متن کامل2 00 8 General structure of the solutions of the Hamiltonian constraints of gravity
A general framework for the solutions of the constraints of pure gravity is constructed. It provides with well defined mathematical criteria to classify their solutions in four classes. Complete families of solutions are obtained in some cases. A starting point for the systematic study of the solutions of Einstein gravity is suggested.
متن کامل