Spherically symmetric solutions of Einstein plus non-polynomial gravities

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 cosmological constant, Maxwell source and Gauss-Bonnet terms are also considered.


Non-Riemannian gravity and the Einstein-Proca system
Dereli, T; Onder, M; Schray, J; Tucker, RW; Wang, C (IOP Publishing, 1996-08-01)
We argue that all Einstein-Maxwell or Einstein-Proca solutions to general relativity may be used to construct a large class of solutions (involving torsion and non-metricity) to theories of non-Riemannian gravitation that have been recently discussed in the literature.
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.
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).
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...
Neutrino oscillations induced by spacetime torsion
Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21)
The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
Citation Formats
S. Deser, B. Ö. Sarıoğlu, and B. Tekin, “Spherically symmetric solutions of Einstein plus non-polynomial gravities,” GENERAL RELATIVITY AND GRAVITATION, pp. 1–7, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35106.