Conserved charges of higher D Kerr-AdS spacetimes

Deser, S
Kanik, I
Tekin, Bayram
Rotating solutions of cosmological Einstein gravity in D dimensions, R-mu v = (D - 1)Lambda g(mu v), have been constructed recently [1, 2], extending earlier A = 0 solutions of [3], themselves generalizations of the well-known D = 4 metrics of [4] and [5], and of [6] in D = 5. These geometries provide a useful application of our recent generalized 'conserved charge' definitions, which are also extensions-of the original ADM [7], and AD [9] charges-to cover wider classes of actions [9, 11]: we will compute the energy and angular momenta of these new solutions.


Accelerated Levi-Civita-Bertotti-Robinson metric in D dimensions
Gurses, M; Sarıoğlu, Bahtiyar Özgür (Springer Science and Business Media LLC, 2005-12-01)
A conformally flat accelerated charge metric is found in an arbitrary dimension D. It is a solution of the Einstein-Maxwell-null fluid equations with a cosmological constant in D >= 4 dimensions. When the acceleration is zero, our solution reduces to the Levi-Civita-Bertotti-Robinson metric. We show that the charge loses its energy, for all dimensions, due to the acceleration.
Radiation in Yang-Mills Formulation of Gravity and a Generalized pp-Wave Metric
Başkal, Sibel (Oxford University Press (OUP), 1999-10-1)
Variational methods applied to a quadratic Yang-Mills-type Lagrangian yield two sets of relations interpreted as the field equations and the energy-momentum tensor for the gravitational field. A covariant condition is imposed on the energy-momentum tensor in order for it to represent the radiation field. A generalized pp-wave metric is found to simultaneously satisfy both the field equations and the radiation condition. The result is compared with that of Lichnerowicz.
Second order perturbation theory in general relativity: Taub charges as integral constraints
Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-05-01)
In a nonlinear theory, such as general relativity, linearized field equations around an exact solution are necessary but not sufficient conditions for linearized solutions. Therefore, the linearized field equations can have some solutions which do not come from the linearization of possible exact solutions. This fact can make the perturbation theory ill defined, which would be a problem both at the classical and semiclassical quantization level. Here we study the first and second order perturbation theory i...
Bound State Solutions of Schrodinger Equation for Generalized Morse Potential with Position-Dependent Mass
Arda, Altug; Sever, Ramazan (IOP Publishing, 2011-07-15)
The effective mass one-dimensional Schrodinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the constant mass case. Energy eigenvalues are computed numerically for some diatomic molecules. They are in agreement with the ones obtained before.
Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory
GÜRSES, METİN; Tekin, Bayram (American Physical Society (APS), 2018-12-28)
The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in d dimensions in the context of possible new examples of this idea. We first show that it is possible to solve the Einstein-Yang-Mills system exactly using the solutions of a Klein-Gordon-type scalar equation when the metric is the pp-wave metric, which is the simplest member of the KSK class. In the more general KSK class, the solu...
Citation Formats
S. Deser, I. Kanik, and B. Tekin, “Conserved charges of higher D Kerr-AdS spacetimes,” CLASSICAL AND QUANTUM GRAVITY, pp. 3383–3389, 2005, Accessed: 00, 2020. [Online]. Available: