Fernando Barbero G. | Searcharxiv

arXiv2021

Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables

We prove the equivalence in the covariant phase space of the metric and connection formulations for Palatini gravity, with nonmetricity and torsion, on a spacetime manifold with boundary. To this end, we will rely on the cohomological approach provided by the relative bicomplex framework. Finally, we discuss some of the physical implications derived from this equivalence in the context of singularity identification through curvature invariants.

gr-qc↗

arXiv2020

A two-sided Faulhaber-like formula involving Bernoulli polynomials

We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in particular, a Faulhaber-like formula for sums of the form $1^m (n-1)^m + 2^m (n-2)^m + \cdots + (n-1)^m 1^m$ for positive integers $m$ and $n$.

math.NT↗