A pure connection formulation with real fields for gravity

Rosales-Quintero J. E.

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A pure connection formulation with real fields for gravity

机译：一种纯连接配方，具有重力的真实领域

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摘要

We study an SO(1, 3) pure connection formulation in four dimensions for real-valued fields, inspired by the Capovilla, Dell and Jacobson complex self-dual approach. By considering the CMPR BF action, also, taking into account a more general class of the Cartan-Killing form for the Lie algebra ??(1, 3) and by refining the structure of the Lagrange multipliers, we integrate out the metric variables in order to obtain the pure connection action. Once we have obtained this action, we impose certain restrictions on the Lagrange multipliers, in such a way that the equations of motion led us to a family of torsionless conformally flat Einstein manifolds, parametrized by two numbers. Finally, we show that, by a suitable choice of parameters, self-dual spaces (Anti-) de Sitter can be obtained.

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《International journal of modern physics, D. Gravitation, astrophysics, cosmology》 |2020年第16期|共9页
作者
Rosales-Quintero J. E.;
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作者单位

Univ Autonoma Puebla Preparatoria 2 Octubre 1968 POB 1364 Puebla 72000 Mexico;

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原文格式 PDF
正文语种 eng
中图分类天体物理学;宇宙学;
关键词
Gravity; pure connection actions; Einstein manifolds; self-dual spaces;

机译：重力;纯粹的连接动作;爱因斯坦歧管;自我双层空间;

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A pure connection formulation with real fields for gravity

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