We compute asymptotic symmetry algebras of conformal gravity. Due to more general boundary conditions allowed in conformal gravity in comparison to those in Einstein gravity, we can classify the corresponding algebras. The highest algebra for non-trivial boundary conditions is five dimensional and it leads to global geon solution with non-vanishing charges.

Evolution of primordial fluctuations in a Brans-Dicke type scalar-tensor gravity theory is comprehensively investigated. The harmonic attractor model, in which the scalar field has its harmonic effective potential in the Einstein conformal frame and the theory relaxes toward Einstein gravity with time, is considered. The evolution of adiabatic initial perturbations in flat SCDM models is examin...

Using as an example the Einstein gravity with the cosmological constant, we discuss the calculation of renormalization group functions off shell. We found, that gauge dependent terms should be absorbed by the nonlinear renormalization of metric. Nevertheless, some terms can be included in the renormalization of Newton’s constant. This ambiguity in the renormalization prescription is discussed. ...

Using as an example the Einstein gravity with the cosmological constant, we discuss the calculation of renormalization group functions off shell. We found, that gauge dependent terms should be absorbed by the nonlinear renormalization of metric. Nevertheless, some terms can be included in the renormalization of Newton’s constant. This ambiguity in the renormalization prescription is discussed. ...

We revisit the 5D gravity model by Dvali, Gabadadze, and Porrati (DGP). In the model it was shown that even in 5D non-compact Minkowski space, the Newtonian gravity can emerge on a brane at short distance by introducing a brane-localized 4D Ricci scalar δ(z)M2 4 R̄4 in the action. Based on this idea, we construct simple setups in which graviton standing waves can arise, and we introduce a z deri...

Interpretation of the first order formalism of f (R)-type gravity and the corresponding second order formalism Abstract f (R)-type gravity in the first order formalism is interpreted as Einstein gravity with non-minimal coupling arising from the use of unphysical frame. Identification of the corresponding second order higher-curvature gravity in the physical frame is proposed by requiring that ...

A finite quantum gravity theory is used to resolve the cosmological constant problem. A fundamental quantum gravity scale, ΛG ≤ 10 −3 eV, is introduced above which the quantum corrections to the vacuum energy density coupled to gravity are exponentially suppressed by a graviton vertex form factor, yielding an observationally acceptable value for the particle physics contribution to the cosmolog...