The gauge theory of the de Sitter group, SO$(1,4)$, in ambient space formalism has been considered this article. This method is essential to constructing super-conformal gravity and Quantum gravity. $10$ vector fields are needed, corresponding generators group. Using gauge-invariant Lagrangian, field equation these obtained. solutions recalled. Then, spin-$2$ potentials constructed from field. ...

We study the properties of gravity and bulk fields living in a torsion warped braneworld. The is driven by background vector whose norm provides source for cosmological constant. For as derivative scalar field, we find new isotropic anisotropic thick brane geometries. analyse features bosonic fermionic this standing wave scenarios. nonminimal coupling between field geometry leading to modificat...

We consider a linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation. We first introduce the formalism and prove the absence of ghost at all scales. As next we investigate the cosmological application of this coupling in this new formulation. We show that even if the...

Gravity theory is the basis of modern cosmological models. Thirring-Feynman’s tensor field approach to gravitation is an alternative to General Relativity (GR). Though Field Gravity (FG) approach is still developing subject, it opens new understanding of gravitational interaction, stimulates novel experiments on the nature of gravity and gives possibility to construct new cosmological models in...

We investigate a puzzle in the recent thermodynamics of scalar-tensor gravity, which general relativity is zero-temperature state equilibrium and gravity non-equilibrium configuration an effective dissipative fluid. A stealth solution Brans-Dicke with constant positive temperature shown to be analogous metastable for fluid suffer from instability. The stability analysis employs version Bardeen-...

Principle of equivalence, general covariance and the demand that the variation of the action functional should be well defined, lead to a generic Lagrangian for semiclassical gravity of the form L = Q bcd a Rbcd with ∇b Q bcd a = 0. The expansion of Q bcd a in terms of the derivatives of the metric tensor determines the structure of the theory uniquely. The zeroth order term gives the Einstein–...