Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds

Devecioglu, Deniz Olgu
Sarıoğlu, Bahtiyar Özgür
We extend the Abbott-Deser-Tekin procedure of defining conserved quantities of asymptotically constant-curvature spacetimes, and give an analogous expression for the conserved charges of geometries that are solutions of quadratic curvature gravity models in generic D dimensions and that have arbitrary asymptotes possessing at least one Killing isometry. We show that the resulting charge expression correctly reduces to its counterpart when the background is taken to be a space of constant curvature and, moreover, is background gauge invariant. As applications, we compute and comment on the energies of two specific examples: the three-dimensional Lifshitz black hole and a five-dimensional companion of the first, whose energy has never been calculated before.


Absence of topological effects in the gauged SU(2) nonlinearσmodel in 2+1 dimensions
Pak, NAMIK KEMAL; Percacci, R. (American Physical Society (APS), 1987-10-15)
We first review the θ sectors of the pure SU(2) nonlinear σ model and the quantization of the topological mass in the SU(2) Yang-Mills theory in 2+1 dimensions. We then show that when the two models are coupled the θ sectors disappear and the topological mass need not be quantized. We work in a canonical formalism and emphasize the role of functional magnetic fields.
Conserved charges in extended theories of gravity
Adami, Hamed; Setare, Mohammad Reza; Sisman, Tahsin Cagri; Tekin, Bayram (Elsevier BV, 2019-11-20)
We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the Killing charge method, and a proper discussion of the conserved charges of extended gravity theories with this method requires studying the corresponding charges in Einstein's theory with or without a cosmological constant. Hence we study the ADM charges (in the asymptoti...
Conserved charges of higher D Kerr-AdS spacetimes
Deser, S; Kanik, I; Tekin, Bayram (IOP Publishing, 2005-09-07)
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 t...
Superposition of FLRW universes
GÜRSES, METİN; Heydarzade, Yaghoub; Tekin, Bayram (IOP Publishing, 2020-06-01)
We show that (1) the Einstein field equations with a perfect fluid source admit a nonlinear superposition of two distinct homogenous Friedman-Lemaitre-Robertson-Walker (FLRW) metrics as a solution, (2) the superposed solution is an inhomogeneous geometry in general, (3) it reduces to a homogeneous one in the two asymptotes which are the early and the late stages of the universe as described by two different FLRW metrics, (4) the solution possesses a scale factor inversion symmetry and (5) the solution impli...
Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
IKHDAİR, SAMEER; Sever, Ramazan (Wiley, 2008-11-01)
The Schrodinger equation in D-dimensions for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states eigensolutions (eigenvalues and eigenfunctions). The Nikiforov-Uvarov (NU) method is used in the calculations. We present numerical calculations of energy eigenvalues to two- and four-dimensional systems for arbitrary quantum numbers n and 1, with three different values of the potential parameter alpha. It is shown that because of the interdimensional degeneracy o...
Citation Formats
D. O. Devecioglu and B. Ö. Sarıoğlu, “Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds,” PHYSICAL REVIEW D, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: