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Loop quantum gravity: the first twenty five years [PDF]

, 2011
This is a review paper invited by the journal "Classical ad Quantum Gravity" for a "Cluster Issue" on approaches to quantum gravity. I give a synthetic presentation of loop gravity. I spell-out the aims of the theory and compare the results obtained with
Amelino-Camelia G, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Atiyah M, Baez J, Barrau A, Barrau A, Barrett J W Dowdall R J Fairbairn W J Hellmann F Pereira R, Bianchi E, Bianchi E, Bianchi E, Bianchi E Donà P Speziale S, Bianchi E Han M Magliaro E Perini C Rovelli C Wieland W, Bianchi E Han M Magliaro E Perini C Rovelli C Wieland W, Bianchi E Krajewski T Rovelli C Vidotto F, Bilson-Thompson S Markopoulou F Smolin L, Bojowald M, Calcagni G Gielen S Oriti D, Calmet X, Campiglia M Henderson A Nelson W, Carlo Rovelli, Ding Y, Ding Y Han M Rovelli C, Dittrich B, Dittrich B, Dittrich B, Dittrich B, Domagala M Giesel K Kaminski W Lewandowski J, Fairbairn W J Meusburger C, Fleischhack C, Freidel L, Freidel L Speziale S, Freidel L Speziale S, Geloun J B Gurau R Rivasseau V, Giesel K, Giesel K, Giesel K, Giesel K, Giesel K Tambornino J Thiemann T, Grain J Barrau A Cailleteau T Mielczarek J, Gurau R, Han M, Han M Rovelli C, Henderson A Rovelli C Vidotto F Wilson-Ewing E, Immirzi G, Immirzi G, Jacobson T, Kaminski W, Kaminski W, Krajewski T Magnen J Rivasseau V Tanasa A Vitale P, Livine E R, Livine E R, Major S, Major S A, Major S A, Martin-Benito M Garay L J Mena Marugan G A, Meissner K A, Mielczarek J, Minkowski H, Modesto L Premont-Schwarz I, Noui K, Oeckl R, Oriti D, Penrose R, Perez A, Ponzano G, Rivasseau V Wang Z, Rovelli C, Rovelli C, Rovelli C, Rovelli C, Rovelli C, Rovelli C, Rovelli C Smerlak M, Rovelli C Speziale S, Singh P, Singh P Vidotto F, Smolin L, Smolin L, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Wieland W   +89 more
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The Geometry of Black Hole singularities [PDF]

, 2014
Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's at non-singular
Stoica, Ovidiu Cristinel
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Nonmetricity formulation of general relativity and its scalar-tensor extension

, 2018
Einstein's celebrated theory of gravitation can be presented in three forms: general relativity, teleparallel gravity, and the rarely considered before symmetric teleparallel gravity.
Järv, Laur, Rünkla, Mihkel, Saal, Margus, Vilson, Ott   +3 more
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Covariant action for bouncing cosmologies in modified Gauss-Bonnet gravity

, 2019
Cyclic universes with bouncing solutions are candidates for solving the big bang initial singularity problem. Here we seek bouncing solutions in a modified Gauss-Bonnet gravity theory, of the type $R+f(G)$, where $R$ is the Ricci scalar, $G$ is the Gauss-
Lemos, José P. S., Terrucha, Inês, Vernieri, Daniele   +2 more
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Quantum Inflation of Classical Shapes [PDF]

, 2014
I consider a quantum system that possesses key features of quantum shape dynamics and show that the evolution of wave-packets will become increasingly classical at late times and tend to evolve more and more like an expanding classical system.
Koslowski, Tim A.
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Loop Quantum Gravity: Four Recent Advances and a Dozen Frequently Asked Questions

, 2007
As per organizers' request, my talk at the 11th Marcel Grossmann Conference consisted of two parts. In the first, I illustrated recent advances in loop quantum gravity through examples.
Ashtekar, Abhay
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Introduction to Loop Quantum Cosmology [PDF]

, 2012
This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective ...
Banerjee, Kinjal, Calcagni, Gianluca, Martín-Benito, Mercedes   +2 more
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Hubble operator in isotropic loop quantum cosmology

, 2003
We present a construction of the Hubble operator for the spatially flat isotropic loop quantum cosmology. This operator is a Dirac observable on a subspace of the space of physical solutions.
Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M, Bojowald M Vandersloot K, Date G, Dirac P A M, Fernando J, Gaul M, Golam Mortuza Hossain, Immirzi G, Kodama H, Misner C W, Perez A Rovelli C, Rovelli C, Rovelli C, Smolin L, Thiemann T, Thiemann T, Thiemann T   +26 more
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Loop Quantum Cosmology corrections on gravity waves produced during primordial inflation

, 2009
Loop Quantum Gravity (L.Q.G.) is one of the two most promising tentative theory for a quantum description of gravity. When applied to the entire universe, the so-called Loop Quantum Cosmology (L.Q.C.) framework offers microscopical models of the very ...
Grain, J.
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On Nonlocal Modified Gravity and its Cosmological Solutions

, 2017
During hundred years of General Relativity (GR), many significant gravitational phenomena have been predicted and discovered. General Relativity is still the best theory of gravity.
Dimitrijevic, Ivan, Dragovich, Branko, Koshelev, Alexey S., Rakic, Zoran, Stankovic, Jelena   +4 more
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