The discovery in the early 1970s that black holes radiate as black bodies has radically
affected our understanding of general relativity, and offered us some early hints about the …

We present a general procedure for constructing exact black hole solutions with electric or
magnetic charges in general relativity coupled to a nonlinear electrodynamics. We obtain a …

In a theory where the cosmological constant Λ or the gauge coupling constant g arises as
the vacuum expectation value, its variation should be included in the first law of …

An improved Hamiltonian constraint operator is introduced in loop quantum cosmology.
Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then …

It is shown that the cosmological singularity in isotropic minisuperspaces is naturally
removed by quantum geometry. Already at the kinematical level, this is indicated by the fact …

Analytical and numerical methods are developed to analyze the quantum nature of the big
bang in the setting of loop quantum cosmology. They enable one to explore the effects of …

We consider entanglement entropy between regions of space in lattice gauge theory. The
Hilbert space corresponding to a region of space includes “edge states” that transform …

We study the quantum gravitational collapse of spherically symmetric pressureless dust.
Using an effective equation derived from a polymer quantization in the connection-triad …

The results of loop quantum gravity concerning geometric operators and black hole entropy
are beset by an ambiguity labeled by the Immirzi parameter. We use a result from classical …

The “improved dynamics” of loop quantum cosmology is extended to include anisotropies of
the Bianchi type I model. As in the isotropic case, a massless scalar field serves as a …