Portal de Periódicos da CAPES

Radiation of Massive Gravitation

1973; American Physical Society; Volume: 7; Issue: 8 Linguagem: Inglês

10.1103/physrevd.7.2300

1538-4500

P. van Nieuwenhuizen,

Pulsars and Gravitational Waves Research

The radiation problem in massive and massless linear Einstein gravitation is analyzed for mass discontinuities in the limit of vanishing graviton mass $m$. It is found that in this limit: (i) the radiation into the massive modes of helicity \ifmmode\pm\else\textpm\fi{}2 becomes equal to $\frac{3}{4}$ of the total massless Einstein radiation, (ii) the radiation into the massive modes of helicity \ifmmode\pm\else\textpm\fi{}1 tends to zero, and (iii) the radiation into the massive helicity-0 mode stays nonzero and is model-dependent. Two models illustrate this: (i) An oscillating point mass radiates for $m\ensuremath{\rightarrow}0$ into the modes of helicity \ifmmode\pm\else\textpm\fi{}2 and 0, and its total radiation approaches in this limit the massless Einstein radiation; (ii) a pulsar radiates for $m\ensuremath{\rightarrow}0$, but only into the helicity-0 mode: Birkhoff's theorem is broken in linear massive gravitation. It is also broken in massive Maxwell theory, but holds in massless Maxwell theory.