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 …

A recent proposal to connect the loop quantization with the spin foam model for cosmology
via the path integral is hereby adapted to the case of mechanical systems within the …

The saddle point approximation of the path integral partition functions is an important way of
deriving the thermodynamical properties of black holes. However, there are certain black …

We propose a new lapse function that simplifies the Hamiltonian constraint, describing the
interior of the black hole in terms of the Ashtekar-Barbero variables, into a more …

We analyze the polymer representation of quantum mechanics within the deformation
quantization formalism. In particular, we construct the Wigner function and the star-product …