引力场方程中的衍射不变性说明

arXiv - PHYS - General Physics Pub Date : 2024-08-01 DOI:arxiv-2408.05229

S C Tiwari

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引用次数: 0

摘要

对于场方程和作用而言，衍射不变性和广义协变性的概念是概念上的微妙问题。本文对原始爱因斯坦场方程及其爱因斯坦的两次修正进行了深入研究。结论是宇宙常数和单模条件是独立的概念，单模条件在无迹场方程的推导中没有直接作用。具有明确作用的单模引力并不存在，从作用原理推导无迹方程是一个未决问题。

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A note on diffeomorphism-invariance in gravitational field equations

The notion of diffeomorphism invariance and general covariance are conceptually delicate issues for the field equations and the actions. A thorough study on the original Einstein field equation and its two modifications by Einstein is presented. It is concluded that the cosmological constant and the unimodular condition are independent concepts, and the unimodular condition has no direct role in the derivation of the traceless field equation. Unimodular gravity with unambiguous action does not exist, and the derivation of traceless equation from the action principle is an open question.

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arXiv - PHYS - General Physics

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