Non-local formulation of ghost-free bigravity theory

被引:18
作者
Cusin, Giulia [1 ,2 ]
Fumagalli, Jacopo [1 ,2 ,3 ,4 ]
Maggiore, Michele [1 ,2 ]
机构
[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland
[2] Univ Geneva, Ctr Astroparticle Phys, CH-1211 Geneva 4, Switzerland
[3] Univ Pavia, Dipartimento Fis, I-27100 Pavia, Italy
[4] Ist Nazl Fis Nucl, Sez Pavia, I-27100 Pavia, Italy
关键词
Classical Theories of Gravity; Models of Quantum Gravity; GRAVITY;
D O I
10.1007/JHEP09(2014)181
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the ghost-free bimetric theory of Hassan and Rosen, with parameters beta(i) such that a flat Minkowski solution exists for both metrics. We show that, expanding around this solution and eliminating one of the two metrics with its own equation of motion, the remaining metric is governed by the Einstein-Hilbert action plus a non-local term proportional to W-mu nu rho sigma(square-m(2))W--1(mu nu rho sigma), where W-mu nu rho sigma is the Weyl tensor. The result is valid to quadratic order in the metric perturbation and to all orders in the derivative expansion. This example shows, in a simple setting, how such non-local extensions of GR can emerge from an underlying consistent theory, at the purely classical level.
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页数:16
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