In the past, the possibility to employ (scalar) material reference systems in order to describe
classical and quantum gravity directly in terms of gauge invariant (Dirac) observables has …

General relativity is usually formulated as a theory with gauge invariance under the
diffeomorphism group, but there is a'dilaton'formulation where it is in addition invariant under …

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of
the theory, different approaches to the dynamics, as well as possible future directions. It is …

A bstract We define the analytic continuation of the number of black hole microstates in Loop
Quantum Gravity to complex values of the Barbero-Immirzi parameter γ. This construction …

It was recently noted that the on-shell Einstein–Hilbert action with York–Gibbons–Hawking
boundary term has an imaginary part, proportional to the area of the codimension-2 surfaces …

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In this paper, we generalize the treatment of isolated horizons in loop quantum gravity,
resulting in a Chern–Simons theory on the boundary in the four-dimensional case, to non …

By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a
geometrical notion of temperature for quantum isolated horizons. This is done by demanding …

We propose a derivation for computing black hole entropy for spherical non-rotating isolated
horizons from loop quantum gravity in four and higher dimensions. The state counting …

Using the complex-valued self-dual connection variables, the loop quantum cosmology of a
closed Friedmann space-time coupled to a massless scalar field is studied. It is shown how …