WEYL INVARIANT TENSORS IN ODD DIMENSIONS

1988-01-01
DERELI, T
MUKHERJEE, M
TUCKER, RW
A set of symmetric, traceless, divergence-free differential forms, Weyl covariant under a conformal scaling of a (pseudo-)Riemannian metric, is constructed in 4n-1 dimensions.
CLASSICAL AND QUANTUM GRAVITY

Suggestions

Shortcuts to spherically symmetric solutions: a cautionary note
Deser, S; Franklin, J; Tekin, Bayram (IOP Publishing, 2004-11-21)
Spherically symmetric solutions of generic gravitational models are optimally, and legitimately, obtained by expressing the action in terms of the surviving metric components. This shortcut is not to be overdone; however, a one-function ansatz invalidates it, as illustrated by the incorrect solutions of Wohlfarth (2004 Class. Quantum Grav. 21 1927).
Spherically symmetric solutions of Einstein plus non-polynomial gravities
Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01)
We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...
Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface
Shikakhwa, M. S. (IOP Publishing, 2018-09-01)
The Hermitian surface momentum operator for a particle confined to a 2D curved surface spanned by orthogonal coordinates and embedded in 3D space is expressed as a symmetric expression in derivatives with respect to the surface coordinates and so is manifestly along the surface. This is an alternative form to the one reported in the literature and usually named geometric momentum, which has a term proportional to the mean curvature along the direction normal to the surface, and so "apparently" not along the...
BACKLUND-TRANSFORMATIONS FOR HARMONIC MAPS IN 2 INDEPENDENT VARIABLES
BASKAL, S; ERIS, A (Springer Science and Business Media LLC, 1994-06-01)
Backlund transformations for harmonic maps are described as the action of the structure group on harmonic one-forms or as gauge transformations of the soliton connection constructed via embedding the configuration manifold into a flat space. As an illustration, Baicklund transformations for maps from M2 to the Poincare upper half-plane and for maps determining stationary vacuum gravitational fields with axial symmetry are obtained.
Radiative decays of the heavy tensor mesons in light cone QCD sum rules
Alıyev, Tahmasıb; Savcı, Mustafa (American Physical Society (APS), 2019-01-11)
The transition form factors of the radiative decays of the heavy tensor mesons to heavy pseudoscalar and heavy vector mesons are calculated in the framework of the light-cone QCD sum rules method at the point Q(2) = 0. Using the obtained values of the transition form factors at the point Q(2) = 0, the corresponding decay widths are estimated. The results show that the radiative decays of the heavy-light tensor mesons could potentially be measured in the future planned experiments at LHCb.
Citation Formats
T. DERELI, M. MUKHERJEE, and R. TUCKER, “WEYL INVARIANT TENSORS IN ODD DIMENSIONS,” CLASSICAL AND QUANTUM GRAVITY, pp. 0–0, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67109.