New solution of Einstein-Yang-Mills equations

Yuewen Chen; Jie Du; Shing Tung Yau

doi:10.4310/ATMP.241031005949

New solution of Einstein-Yang-Mills equations

Yuewen Chen
, Jie Du
, Shing Tung Yau

数学科学学院

Yau Mathematical Sciences Center
Tsinghua University
Yanqi Lake Beijing Institute of Mathematical Sciences and Applications

科研成果: 期刊稿件 › 短篇评述 › 同行评审

摘要

In this paper, we demonstrate the convergence of a first-order finite difference method for static, spherically symmetric SU(2) Einstein-Yang-Mills (EYM) equations. We introduce a novel weighted es-sential non-oscillatory (WENO) scheme for these equations and apply it, presenting steady-state solutions. Moreover, we introduce the first BV solution to the EYM equation. We develop a WENO-Adams-Moulton method for solving the Einstein constraint equations and construct a new WENO scheme to approximate the second derivative.

源语言	英语
页（从-至）	1881-1931
页数	51
期刊	Advances in Theoretical and Mathematical Physics
卷	28
期	6
DOI	https://doi.org/10.4310/ATMP.241031005949
出版状态	已出版 - 2024

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title = "New solution of Einstein-Yang-Mills equations",

abstract = "In this paper, we demonstrate the convergence of a first-order finite difference method for static, spherically symmetric SU(2) Einstein-Yang-Mills (EYM) equations. We introduce a novel weighted es-sential non-oscillatory (WENO) scheme for these equations and apply it, presenting steady-state solutions. Moreover, we introduce the first BV solution to the EYM equation. We develop a WENO-Adams-Moulton method for solving the Einstein constraint equations and construct a new WENO scheme to approximate the second derivative.",

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AU - Du, Jie

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N2 - In this paper, we demonstrate the convergence of a first-order finite difference method for static, spherically symmetric SU(2) Einstein-Yang-Mills (EYM) equations. We introduce a novel weighted es-sential non-oscillatory (WENO) scheme for these equations and apply it, presenting steady-state solutions. Moreover, we introduce the first BV solution to the EYM equation. We develop a WENO-Adams-Moulton method for solving the Einstein constraint equations and construct a new WENO scheme to approximate the second derivative.

AB - In this paper, we demonstrate the convergence of a first-order finite difference method for static, spherically symmetric SU(2) Einstein-Yang-Mills (EYM) equations. We introduce a novel weighted es-sential non-oscillatory (WENO) scheme for these equations and apply it, presenting steady-state solutions. Moreover, we introduce the first BV solution to the EYM equation. We develop a WENO-Adams-Moulton method for solving the Einstein constraint equations and construct a new WENO scheme to approximate the second derivative.

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U2 - 10.4310/ATMP.241031005949

DO - 10.4310/ATMP.241031005949

M3 - 短篇评述

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EP - 1931

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

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ER -

New solution of Einstein-Yang-Mills equations

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