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Wormhole geometries with conformal motions
Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo
Exact solutions of traversable wormholes were recently found under the assumption of spherical symmetry and the existence of a non-static conformal symmetry. In this paper, we veri…
Generalized virial theorem in f(R) gravity
Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo
We generalize the virial theorem in f(R) modified gravity using the collisionless Boltzmann equation. We find supplementary geometric terms in the modified Einstein equation provid…
Dark matter as a geometric effect in f(R) gravity
Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo
We consider the behavior of the tangential velocity of test particles moving in stable circular orbits in f(R) modified theories of gravity. A large number of observations at the g…
Conformally symmetric traversable wormholes
Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo
Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more syst…
The virial theorem and the dynamics of clusters of galaxies in the brane world models
T. Harko, K. S. Cheng
A version of the virial theorem, which takes into account the effects of the non-compact extra-dimensions, is derived in the framework of the brane world models. In the braneworld…
Galactic dark matter as a bulk effect on the brane
C. G. Boehmer, T. Harko
The behavior of the angular velocity of a test particle moving in a stable circular orbit in the vacuum on the brane is considered. In the brane world scenario, the four dimensiona…