Contravariant gravity on Poisson manifolds and Einstein gravity

Liouville gravity from Einstein gravity

We show that Liouville gravity arises as the limit of pure Einstein gravity in 2+ ε dimensions as ε goes to zero, provided Newton’s constant scales with ε. Our procedure – spherical reduction, dualization, limit, dualizing back – passes several consistency tests: geometric properties, interactions with matter and the Bekenstein-Hawking entropy are as expected from Einstein gravity. Platinum Jub...

Gravity Resonance Spectroscopy and Einstein- Cartan Gravity

The qBounce experiment offers a new way of looking at gravitation based on quantum interference. An ultracold neutron is reflected in well-defined quantum states in the gravity potential of the Earth by a mirror, which allows to apply the concept of gravity resonance spectroscopy (GRS). This experiment with neutrons gives access to all gravity parameters as the dependences on distance, mass, cu...

2 Rui Loja Fernandes : Contravariant Conne tions on Poisson Manifolds

Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity

Spherically symmetric gravity in Ashtekar variables coupled to Yang–Mills theory in two dimensions and its relation to dilaton gravity and Poisson sigma models are discussed. After introducing its loop quantization, quantum corrections for inverse triad components are shown to provide a consistent deformation without anomalies. The relation to Poisson sigma models provides a covariant action pr...

Random manifolds and quantum gravity

The novelty is the summation over geometry, which is considered to be dynamical. When the action depends only on the intrinsic geometry, the geometrical degrees of freedom are the topology and the metric of the manifolds. The summation over topologies being beyond control, one sums over all inequivalent metrics at fixed topology. Euclidean quantum gravity belongs to statistical mechannics. Its ...