EXTENDED GRAVITY THEORIES AND THE EINSTEIN-HILBERT ACTION

被引：291

作者：

WANDS, D

机构：

[1] Astronomy Centre, School of Mathematical and Physical Sciences, University of Sussex

来源：

CLASSICAL AND QUANTUM GRAVITY | 1994年 / 11卷 / 01期

关键词：

D O I：

10.1088/0264-9381/11/1/025

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

I discuss the relation between arbitrarily high-order theories of gravity and scalar-tensor gravity at the level of the field equations and the action. I show that (2n + 4)-order gravity is dynamically equivalent to Brans-Dicke gravity with an interaction potential for the Brans-Dicke field and n further scalar fields. This scalar-tensor action is then conformally equivalent to the Einstein-Hilbert action with n + 1 scalar fields. This clarifies the nature and extent of the conformal equivalence between extended gravity theories and general relativity with many scalar fields.

引用

页码：269 / 279

页数：11

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