Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.
Non-minimally coupled scalar field cosmology with torsion
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abstract
In this work we present a generalized Brans-Dicke lagrangian including a non-minimally coupled Gauss-Bonnet term without imposing the vanishing torsion condition. In the resulting field equations, the torsion is closely related to the dynamics of the scalar field, i.e., if non-minimally coupled terms are present in the theory, then the torsion must be present. For the studied lagrangian we analyze the cosmological consequences of an effective torsional fluid and we show that this fluid can be responsible for the current acceleration of the universe. Finally, we perform a detailed dynamical system analysis to describe the qualitative features of the model, we find that accelerated stages are a generic feature of this scenario.
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A one-parameter deformation of conformal coupling in Einstein-Cartan gravity produces exact torsional black hole and wormhole solutions with a scalar field.
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Frame invariant diffusive formulation of scalar-tensor gravity
Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.
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Torsional black holes and wormholes in Einstein-Cartan-Maxwell gravity with a conformal scalar field
A one-parameter deformation of conformal coupling in Einstein-Cartan gravity produces exact torsional black hole and wormhole solutions with a scalar field.