Linearized gravity in de Sitter spacetime as a representation of SO(4, 1)

TY - JOUR

T1 - Linearized gravity in de Sitter spacetime as a representation of SO(4, 1)

AU - Higuchi, A.

PY - 1991

Y1 - 1991

N2 - The solutions to the linearized Einstein equation in de Sitter spacetime are explicitly written down. Their group-theoretical properties are examined with an emphasis on the way these solutions form a unitary representation of the de Sitter group, SO(4, 1). For this purpose of duality operator acting on them is defined. This operator is analogous to the helicity operator on gravitons in Minkowski spacetime. It is found that the self-dual solutions and the anti-self-dual solutions separately form unitary irreducible representations. The work presented is a preliminary for the study of quantum linearization instabilities, which will be reported elsewhere.

AB - The solutions to the linearized Einstein equation in de Sitter spacetime are explicitly written down. Their group-theoretical properties are examined with an emphasis on the way these solutions form a unitary representation of the de Sitter group, SO(4, 1). For this purpose of duality operator acting on them is defined. This operator is analogous to the helicity operator on gravitons in Minkowski spacetime. It is found that the self-dual solutions and the anti-self-dual solutions separately form unitary irreducible representations. The work presented is a preliminary for the study of quantum linearization instabilities, which will be reported elsewhere.

UR - http://www.scopus.com/inward/record.url?scp=0041856274&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/8/11/011

DO - 10.1088/0264-9381/8/11/011

M3 - Article

AN - SCOPUS:0041856274

SN - 0264-9381

VL - 8

SP - 2005

EP - 2021

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 11

M1 - 011

ER -