Shortcuts to spherically symmetric solutions: a cautionary note

Deser, S
Franklin, J
Tekin, Bayram
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...
Shortcuts to high symmetry solutions in gravitational theories
Deser, S; Tekin, Bayram (IOP Publishing, 2003-11-21)
We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those-highly symmetric-geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of judiciously violating the rules of variational principles by inserting highly symmetric, and seemingly gauge fixed, metrics into the action, then varying it directly to arrive at a small number of transparent, indexless, field equations. Illustrations include spherically and axial...
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.
DERELI, T; MUKHERJEE, M; TUCKER, RW (IOP Publishing, 1988-01-01)
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.
Conformal properties of charges in scalar-tensor gravities
Deser, S.; Tekin, Bayram (IOP Publishing, 2006-12-21)
We study the behaviour under conformal transformations of energy and other charges in generic scalar - tensor models. This enables us to conclude that the ADM/AD masses are invariant under field redefinitions mixing metric and scalar despite the permitted slow asymptotic falloff of massless scalars.
Citation Formats
S. Deser, J. Franklin, and B. Tekin, “Shortcuts to spherically symmetric solutions: a cautionary note,” CLASSICAL AND QUANTUM GRAVITY, pp. 5295–5296, 2004, Accessed: 00, 2020. [Online]. Available: