We review, as well as provide some new results regarding the study of the structure of
spacetime and the singularity in the interior of the Schwarzschild black hole in both loop …

We derive loop quantum gravity corrections to the Raychaudhuri equation in the interior of a
Schwarzschild black hole and near the classical singularity. We show that the resulting …

We consider the classical Hamiltonian of the interior of the Schwarzschild black hole in
Ashtekar–Barbero connection formalism. Then, inspired by generalized uncertainty principle …

The linearized Einstein field equations provide a low-energy wave equation for the
propagation of gravitational fields which may originate from a high-energy source. Motivated …

A bstract The classical Raychaudhuri equation predicts the formation of conjugate points for
a congruence of geodesics, in a finite proper time. This in conjunction with the Hawking …

The polymer quantization of cosmological backgrounds provides an alternative path to the
original Wheeler-de Witt (WdW) quantum cosmology, based on a different representation the …

In a previous work we studied the interior of the Schwarzschild black hole implementing an
effective minimal length, by applying a modification to the Poisson brackets of the theory. In …

We reconsider the study of the interior of the Schwarzschild black hole now including
inverse triad quantum corrections within loop quantization. We derive these corrections and …

We compute the expected response of detector arms of gravitational wave observatories to
polymerized gravitational waves. The mathematical and theoretical features of these waves …

We present the first empirical constraints on the polymer scale describing polymer quantized
GWs propagating on a classical background. These constraints are determined from the …