This paper will discuss the recent LIGO-Virgo observations of gravitational waves and binary black hole mergers that produce them. These rely on having prior knowledge dynamical behaviour systems, as governed by Einstein Field Equations (EFEs). However, we currently lack any exact, analytic solutions to EFEs describing such systems. In absence solutions, a range modelling approaches are used me...

We describe the gravitational degrees of freedom of the Schwarzschild black hole by one free variable. We introduce an equation which we suggest to be the Schrödinger equation of the Schwarzschild black hole corresponding to this model. We solve the Schrödinger equation explicitly and obtain the mass spectrum of the black hole as such as it can be observed by an observer very far away and at re...

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity[1], using recently developed Noether charge techniques[2]. This latter approach is extended to accomodate the non-local form of the semiclassical effective action. In the two-dimensional model, the final black hole entropy can be expressed as a local quantity evaluated on the horizon. This entropy is shown to...

We start by pointing out that certain Riemann surfaces appear rather naturally in the context of wave equations in the black hole background. For a given black hole there are two closely related surfaces. One is the Riemann surface of complexified “tortoise” coordinate. The other Riemann surface appears when the radial wave equation is interpreted as the Fuchsian differential equation. We study...

In this paper we try to answer the main question: what is a quantum black hole?

In this paper we introduce an efficient hole-filling strategy for 3D meshes and at the same time aesthetically recover the sharp features of the original 3D model at the hole areas. Commonly, hole filling techniques try to fill up the hole first then smooth it. Very few have tried to recover the fine features of the original model at the holes. Our hole filling technique is different from other...