1980Surveys In High Energy PhysicsRequires access

Curved twistor spaces and H-space

K. P. Tod

Open publisher page 4 citations

Abstract

The curved twistor space construction of Penrose 1,2 for anti-self-dual solutions to the Einstein vacuum equations is described. Curved twistor spaces are defined and it is shown with the aid of an example how to obtain them by deforming the complex structure of regions of flat twistor space. The connection of this procedure with Newman's H-space construction3 via asymptotic twistor space is outlined.

About this research paper

What this paper is about

The curved twistor space construction of Penrose 1,2 for anti-self-dual solutions to the Einstein vacuum equations is described. Curved twistor spaces are defined and it is shown with the aid of an example how to obtain them by deforming the complex structure of regions of flat twistor space. The connection of this procedure with Newman's H-space construction3 via asymptotic twistor space is outlined.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The curved twistor space construction of Penrose 1,2 for anti-self-dual solutions to the Einstein vacuum equations is described. Curved twistor spaces are defined and it is shown with the aid of an example how to obtain them by deforming the complex structure of regions of flat twistor space. The connection of this procedure with Newman's H-space construction3 via asymptotic twistor space is outlined.

Key concepts: Twistor theory, Twistor space, Space (punctuation), Physics, Connection (principal bundle), Mathematical physics, Mathematical analysis, Geometry

Related papers

Back to paper searchBrowse research topicsOriginal source
Curved twistor spaces and H-space — Research Paper | ScholarLens