On the integrability of the Einstein-Yang-Mills equations

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1016/j.jmaa.2007.03.049

On the integrability of the Einstein-Yang-Mills equations

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

12 Citations (Scopus)

Abstract

In this paper we apply the Darboux theory of integrability to the Einstein-Yang-Mills differential equations. Thus, we provide a complete description of the Darboux polynomials, exponential factors, rational first integrals and Darboux first integrals for the Einstein-Yang-Mills differential equations. © 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1203-1230
Journal	Journal of Mathematical Analysis and Applications
Volume	336
DOIs	https://doi.org/10.1016/j.jmaa.2007.03.049
Publication status	Published - 15 Dec 2007

Keywords

Darboux first integrals
Einstein-Yang-Mills system
Rational first integrals

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https://doi.org/10.1016/j.jmaa.2007.03.049

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title = "On the integrability of the Einstein-Yang-Mills equations",

abstract = "In this paper we apply the Darboux theory of integrability to the Einstein-Yang-Mills differential equations. Thus, we provide a complete description of the Darboux polynomials, exponential factors, rational first integrals and Darboux first integrals for the Einstein-Yang-Mills differential equations. {\textcopyright} 2007 Elsevier Inc. All rights reserved.",

keywords = "Darboux first integrals, Einstein-Yang-Mills system, Rational first integrals",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2007",

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doi = "https://doi.org/10.1016/j.jmaa.2007.03.049",

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T1 - On the integrability of the Einstein-Yang-Mills equations

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2007/12/15

Y1 - 2007/12/15

N2 - In this paper we apply the Darboux theory of integrability to the Einstein-Yang-Mills differential equations. Thus, we provide a complete description of the Darboux polynomials, exponential factors, rational first integrals and Darboux first integrals for the Einstein-Yang-Mills differential equations. © 2007 Elsevier Inc. All rights reserved.

AB - In this paper we apply the Darboux theory of integrability to the Einstein-Yang-Mills differential equations. Thus, we provide a complete description of the Darboux polynomials, exponential factors, rational first integrals and Darboux first integrals for the Einstein-Yang-Mills differential equations. © 2007 Elsevier Inc. All rights reserved.

KW - Darboux first integrals

KW - Einstein-Yang-Mills system

KW - Rational first integrals

U2 - https://doi.org/10.1016/j.jmaa.2007.03.049

DO - https://doi.org/10.1016/j.jmaa.2007.03.049

M3 - Article

SN - 0022-247X

VL - 336

SP - 1203

EP - 1230

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

On the integrability of the Einstein-Yang-Mills equations

Abstract

Keywords

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