Semantic Scholar Open Access 2010 17 sitasi

General heavenly equation governs anti-self-dual gravity

A. A. Malykh M. Sheftel

Lihat Sumber DOI

Abstrak

We show that the general heavenly equation, suggested recently by Doubrov and Ferapontov (2010 arXiv:0910.3407v2 [math.DG]), governs anti-self-dual (ASD) gravity. We derive ASD Ricci-flat vacuum metric governed by the general heavenly equation, null tetrad and basis of 1-forms for this metric. We present algebraic exact solutions of the general heavenly equation as a set of zeros of homogeneous polynomials in independent and dependent variables. A real solution is obtained for the case of a neutral signature.

Topik & Kata Kunci

Physics Mathematics

Penulis (2)

A. A. Malykh

M. Sheftel

Format Sitasi

APA MLA BibTeX

Malykh, A.A., Sheftel, M. (2010). General heavenly equation governs anti-self-dual gravity. https://doi.org/10.1088/1751-8113/44/15/155201

Akses Cepat

Lihat di Sumber doi.org/10.1088/1751-8113/44/15/155201

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Total Sitasi: 17×
Sumber Database: Semantic Scholar
DOI: 10.1088/1751-8113/44/15/155201
Akses: Open Access ✓