Conformal Yano-Killing tensors for space-times with cosmological constant
@article{Czajka2017ConformalYT, title={Conformal Yano-Killing tensors for space-times with cosmological constant}, author={Paweł Czajka and Jacek Jezierski}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2017} }
We present a new method for constructing conformal Yano-Killing tensors in five-di\-men\-sio\-nal Anti-de Sitter space-time. The found tensors are represented in two different coordinate systems. We also discuss, in terms of CYK tensors, global charges which are well defined for asymptotically (five-dimensional) Anti-de Sitter space-time. Additionally in Appendix we present our own derivation of conformal Killing one-forms in four-dimensional Anti-de Sitter space-time as an application of the…
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References
SHOWING 1-10 OF 12 REFERENCES
Asymptotic conformal Yano-Killing tensors for asymptotic anti-de Sitter spacetimes and conserved quantities
- Mathematics, Physics
- 2007
Conformal rescaling of conformal Yano–Killing tensors and relations between Yano and CYK tensors are discussed. Pullback of these objects to a submanifold is used to construct all solutions of a CYK…
Asymptotically anti-de Sitter space-times
- Mathematics
- 1984
The structure of the gravitational field at infinity of asymptotically anti-de Sitter space-time is analysed in detail using conformal techniques. It is found that the situation differs from that in…
Black holes, hidden symmetries, and complete integrability
- PhysicsLiving reviews in relativity
- 2017
It is demonstrated that the principal tensor can be used as a “seed object” which generates all these symmetries of higher-dimensional Kerr–NUT–(A)dS black hole spacetimes and the review contains a discussion of different applications of the developed formalism and its possible generalizations.
The black hole singularity in AdS/CFT
- Physics
- 2004
We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d > 3 , where the curvature grows large near the singularity, we find distinct but subtle signals of this…
Dynamics of Nonlinear Waves on Bounded Domains
- Mathematics
- 2016
This thesis is concerned with dynamics of conservative nonlinear waves on bounded domains. In general, there are two scenarios of evolution. Either the solution behaves in an oscillatory,…
Acta Phys
- Pol. B 39, 75
- 2008
Conformal Yano–Killing tensor for the Kerr metric and conserved quantities
- Chemistry
- 2006
Properties of (skew-symmetric) conformal Yano–Killing tensors are reviewed. Explicit forms of three symmetric conformal Killing tensors in Kerr spacetime are obtained from the Yano–Killing tensor.…
Hamiltonian mass of asymptotically Schwarzschild–de Sitter space-times
- Physics
- 2013
We derive the Hamiltonian mass for general relativistic initial data sets with asymptotically Schwarzschild-de Sitter ends.
arXiv:hep-th/9910023]. Conformal Yano–Killing Tensors for Space-times with Cosmological
- Solodukhin, Phys. Lett. B 472,
- 2000