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20042020
most citedCovariance in models of loop quantum gravity: Spherical symmetry

109 citations

Showing 2015Show all

10 papers · 1 filter

math.GN2015★ 2 cited

Connectedness like properties on the hyperspace of convergent sequences

S. Garcia-Ferreira, R. Rojas-Hernandez

This paper is a continuation of the work done in \cite{sal-yas} and \cite{may-pat-rob}. We deal with the Vietoris hyperspace of all nontrivial convergent sequences $\mathcal{S}_c(X…

math.AG2015

Some results on deformations of sections of vector bundles

Abel Castorena, Gian Pietro Pirola

Let be a vector bundle on a smooth complex projective variety . We study the family of sections where is a family of topological…

math.GT2015★ 1 cited

Topological rigidity of higher graph manifolds

Noé Bárcenas, Daniel Juan-Pineda, Pablo Suárez-Serrato

In this short note we prove the Borel conjecture for a family of aspherical manifolds that includes higher graph manifolds.

math.NT2015★ 4 cited

Sylvester's Theorem and the Non-integrality of a certain Binomial Sum

Daniel López-Aguayo, Florian Luca

In this note, we show that is not an integer for any positive integer and and for . This giv…

math.GN2015★ 1 cited

Families of continuous retractions and function spaces

S. Garcia-Ferreira, R. Rojas-Hernandez

In this article, we mainly study certain families of continuous retractions (-skeletons) having certain rich properties. By using monotonically retractable spaces we solve a que…

gr-qc2015★ 109 cited

Covariance in models of loop quantum gravity: Spherical symmetry

Martin Bojowald, Suddhasattwa Brahma, Juan D. Reyes

Spherically symmetric models of loop quantum gravity have been studied recently by different methods that aim to deal with structure functions in the usual constraint algebra of gr…

gr-qc2015★ 13 cited

The gravitational Hamiltonian, first order action, Poincaré charges and surface terms

Alejandro Corichi, Juan D. Reyes

We consider the issue of attaining a consistent Hamiltonian formulation, after a 3+1 splitting, of a well defined action principle for asymptotically flat gravity. More precisely,…

gr-qc2015★ 10 cited

Energy in first order 2+1 gravity

Alejandro Corichi, Irais Rubalcava-Garcia

We consider =0 three dimensional gravity with asymptotically flat boundary conditions. This system was studied by Ashtekar and Varadarajan within the second order formalism -wit…

gr-qc2015★ 15 cited

Loop quantum cosmology of Bianchi IX: Effective dynamics

Alejandro Corichi, Edison Montoya

We study numerically the solutions to the effective equations of Bianchi IX spacetimes within Loop Quantum Cosmology. We consider Bianchi IX models with and without inverse triad c…

hep-th2015★ 4 cited

Complex structures for an S-matrix of Klein-Gordon theory on AdS spacetimes

Max Dohse, Robert Oeckl

While the standard construction of the S-matrix fails on Anti-de Sitter (AdS) spacetime, a generalized S-matrix makes sense, based on the hypercylinder geometry induced by the boun…