A rigorous solution of the field equations with a finite density of matter in the Universe is obtained in the context of classical gravitation theory.

The quantum origin of the Universe due to a positive cosmological constant is studied.

The universe without a singularity

Quantum Origin of the Universe

Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

The Large Scale Structure of Space-Time

This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.

The universe without a singularity

Citations

Quantum Origin of the Universe

References

The Large Scale Structure of Space-Time

Spinors and space-time

The large-scale structure of space-time.

Relativistic gravitation theory

Related Papers (5)

General relativistic singularity-free cosmological model

Dynamic Scalar Torsion and an Oscillating Universe

Graviton mass and evolution of a Friedmann universe

Upper Limit of the Age of the Universe with Cosmological Constant

Homogeneous radiation-filled Universe in general scalar tensor theory