A systematic approach to generalisations of General Relativity and their cosmological implications

被引：289

作者：

Heisenberg, Lavinia ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, Inst Theoret Studies, Clausiusstr 47, CH-8092 Zurich, Switzerland

来源：

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 2019年 / 796卷

基金：

欧洲研究理事会; 瑞士国家科学基金会;

关键词：

Modified gravity; Massive gravity; Scalar-tensor theories; Generalised Proca; Multi-Proca; Scalar-vector-tensor theories; Cosmology; FRIEDMAN-LEMAITRE COSMOLOGIES; GRAVITATIONAL-INSTABILITY; MASSIVE GRAVITY; LAGRANGIAN THEORY; KINETIC-THEORY; YANG-MILLS; FIELD; INFLATION; CONSERVATION; FORMULATION;

D O I：

10.1016/j.physrep.2018.11.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious challenges of modern cosmology and of particle physics have motivated the exploration of further generalised theories of space-time. Even though Einstein's interpretation of gravity in terms of the curvature of space-time is commonly adopted, the assignment of geometrical concepts to gravity is ambiguous because General Relativity allows three entirely different, but equivalent approaches of which Einstein's interpretation is only one. From a field-theoretical perspective, however, the construction of a consistent theory for a Lorentz-invariant massless spin-2 particle uniquely leads to General Relativity. Keeping Lorentz invariance then implies that any modification of General Relativity will inevitably introduce additional propagating degrees of freedom into the gravity sector. Adopting this perspective, we will review the recent progress in constructing consistent field theories of gravity based on additional scalar, vector and tensor fields. Within this conceptual framework, we will discuss theories with Galileons, with Lagrange densities as constructed by Horndeski and beyond, extended to DHOST interactions, or containing generalised Proca fields and extensions thereof, or several Proca fields, as well as bigravity theories and scalar-vectortensor theories. We will review the motivation of their inception, different formulations, and essential results obtained within these classes of theories together with their empirical viability. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：1 / 113

页数：113

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