Massive symmetric tensor field in curved spacetime

Physics

Scientific paper

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Relativity, Space-Time Functions, Tensors, Einstein Equations, Gravitational Waves, Klein-Gordon Equation, Spinor Groups

Scientific paper

The condition on the background spacetime is derived for the straightforward generalization of the massive symmetric tensor field (MSTF) equation to be possible. The MSTF in spatially flat Robertson-Walker spacetimes is studied in detail. The abovementioned condition in these spacetimes is verified by calculating the Klein-Gordon inner products among the solutions of the field equation. It is shown that the MSTF theory in some spacetimes has features which are probably undesirable even if the condition on the spacetime is satisfied.

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