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Rainbow metric from quantum gravity
Mehdi Assanioussi, Andrea Dapor, Jerzy Lewandowski
In this letter, we describe a general mechanism for emergence of a rainbow metric from a quantum cosmological model. This idea is based on QFT on a quantum space-time. Under genera…
A quantum reduction to spherical symmetry in loop quantum gravity
Norbert Bodendorfer, Jerzy Lewandowski, Jedrzej Świeżewski
Based on a recent purely geometric construction of observables for the spatial diffeomorphism constraint, we propose two distinct quantum reductions to spherical symmetry within fu…
A symmetric scalar constraint for loop quantum gravity
Jerzy Lewandowski, Hanno Sahlmann
In the framework of loop quantum gravity, we define a new Hilbert space of states which are solutions of a large number of components of the diffeomorphism constraint. On this Hilb…
Neighbourhoods of Isolated Horizons and their stationarity
Jerzy Lewandowski, Tomasz Pawlowski
A distinguished (invariant) Bondi-like coordinate system is defined in the spacetime neighbourhood of a non-expanding horizon of arbitrary dimension via geometry invariants of the…
Observables for General Relativity related to geometry
Paweł Duch, Wojciech Kamiński, Jerzy Lewandowski +1
We present a new scheme of defining invariant observables for general relativistic systems. The scheme is based on the introduction of an observer which endowes the construction wi…
A curvature operator for LQG
Emanuele Alesci, Mehdi Assanioussi, Jerzy Lewandowski
We introduce a new operator in Loop Quantum Gravity - the 3D curvature operator - related to the 3-dimensional scalar curvature. The construction is based on Regge Calculus. We def…