Mathematical implications of Einstein-Weyl causality / Hans Jürgen Borchers, Rathindra Nath Sen.

Format:

Book

Author/Creator:

Borchers, Hans-Jürgen, 1926- author.

Sen, Rathindra Nath, author.

Series:

Lecture notes in physics ; Volume 709.

Lecture Notes in Physics ; Volume 709

Language:

English

Subjects (All):

Causality (Physics).

Physical Description:

1 online resource (194 p.)

Edition:

1st ed. 2006.

Place of Publication:

Berlin ; Heidelberg : Springer-Verlag, [2006]

Language Note:

English

Summary:

The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics.

Contents:

Geometrical Structures on Space-Time

Light Rays and Light Cones

Local Structure and Topology

Homogeneity Properties

Ordered Spaces and Complete Uniformizability

Spaces with Complete Light Rays

Consequences of Order Completeness

The Cushion Problem

Related Works

Concluding Remarks

Erratum to: Geometrical Structures on Space-Time

Erratum to: Light Rays and Light Cones

Erratum to: Local Structure and Topology

Erratum to: Ordered Spaces and Complete Uniformizability

Erratum to: Spaces with Complete Light Rays

Erratum to: Consequences of Order Completeness

Erratum.

Notes:

Description based upon print version of record.

Description based on print version record.

ISBN:

9786610800391

9781280800399

1280800399

9783540376811

354037681X