The Mathematical Theory of Black Holes

  title={The Mathematical Theory of Black Holes},
  author={Subrahmanyan Chandrasekhar},
In a course of lectures on the ‘underlying mathematical structures of classical gravitation theory’ given in 1978, Brandon Carter began with the statement ‘If I had been asked five years ago to prepare a course of lectures on recent developments in classical gravitation theory, I would not have hesitated on the classical theory of black holes as a central topic of discussion. However, the most important developments in gravitational theory during the last three or four years have not been in… 

Lectures on Black Hole Quantum Mechanics

The lectures that follow were originally given in 1992, and written up only slightly later. Since then there have been dramatic developments in the quantum theory of black holes, especially in the

Mathematical Foundations of the Theory of Relativistic Stellar and Black Hole Configurations

Late in the year 1783, Benjamin Franklin (then U.S. representative in France) wrote from Paris to his regular London scientific correspondent Sir Joseph Banks (then president of the Royal Society)

A geometrical interpretation of black hole space-time in 2+1 dimensions

Introduction The general theory of relativity is the theory of gravitation developed by Einstein in 1915 (Wald). In the first few decades after its origin, the general theory of relativity was not

Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics

The primary purpose of all physical theory is rooted in reality, and most relativists pretend to be physicists. We may often be members of departments of mathematics and our work oriented towards the

Charged Black Holes

Preface This paper concludes my nal thesis ('afstudeeronderzoek'). I would like to thank Mees de Roo for his guidance in this investigation. Very helpful were the discussions with fellow students

The synergy between numerical and perturbative approaches to Black holes.

When I started graduate school, I began a thesis project in perturbation theory of spherical spacetimes. I still remember well how my advisor, Vincent Moncrief, an expert in perturbation theory,

Black holes with many horizons in the theories of nonlinear electrodynamics

In order to remove the inconsistencies of infinite selfenergy of the point charges in the Maxwell’s electrodynamics, Max Born firstly proposed the nonlinear electrodynamic (NLE) theory [1]. The

Aspects of four-dimensional black holes with hair : stability and entropy considerations

In recent years, a large number of black holes have been presented as candidates for an evasion of the "no-hair" conjecture. These examples typically have two features: a non-Abelian gauge field and

Developments in black hole research: Classical, semi-classical, and quantum

The possible existence of black holes has fascinated scientists at least since Michell and Laplace's proposal that a gravitating object could exist from which light could not escape. In the 20th

Geometry of black hole spacetimes

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the