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… 

Quasi-local instant charges and its asymptotics at spatial infinity

We provide a new construction of charges (conserved quantities) for the gravity field in the (3+1) decomposition. The construction is based on (3+1) splitting of conformal Yano--Killing tensor. We

Charges of the gravitational field and (3+1) decomposition of CYK tensors part 2

The work describes the method of construction of charges (conserved quantities) for the gravity field in the (3 + 1) decomposition. The presented construction uses tensors of the electrical and

Quasi-local instantaneous charges asymptotics at spatial infinity

The article aims to analyze a construction of charges (conserved quantities) for the gravity field in the (3 +\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}

On the canonical energy of weak gravitational fields with a cosmological constant \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin

The renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation ofThe Trautman-Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).

References

SHOWING 1-10 OF 12 REFERENCES

Asymptotic conformal Yano-Killing tensors for asymptotic anti-de Sitter spacetimes and conserved quantities

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

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

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

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

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

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

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