Instability of flat space for massive gravitational fields

Journal Article · Fri Aug 15 04:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.34.1005· OSTI ID:5567129

Jun, J; Kang, I

Flat space is not stable in massive gravity, in the sense that for any nonzero graviton mass m-italic, no matter how small it may be, any nontrivial solution for the massive field equations is not asymptotically flat as one goes far away from the source, i.e., r-italic..-->..infinity. This is because, although one may be able to construct a locally stable solution with respect to flat space, it does not approach flat space in the limit r-italic..-->..infinity. This is still true even if one takes a successive set of both limits r-italic..-->..infinity and m-italic..-->..0. Flat space in massive gravity as well as in its massless limit is only an isolated trivial solution. This leads to the conclusion that Einstein's general relativity is an isolated theory.

• Research Organization: Department of Physics, Chung Ang University, Seoul, Korea
• OSTI ID: 5567129
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
GRAVITATIONAL RADIATION
GRAVITONS
HELICITY
MASS
MASSLESS PARTICLES
METRICS
PARTICLE PROPERTIES
POSTULATED PARTICLES
RADIATIONS
SCHWARZSCHILD METRIC
SPIN
TENSORS