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Modeling scalar fields consistent with positive mass · Around

2013

Modeling scalar fields consistent with positive mass

Nozawa, Masato, Shiromizu, Tetsuya

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This paper explores the conditions under which modified gravitational theories admit the positive mass.

Following Witten's spinor argument, it is argued that a single condition should be imposed upon a gauge connection in the super-covariant derivative.
Under this condition, we present a simple formula for the divergence of the Nester tensor in Einstein's gravity with general source.
Applying this prescription to the Einstein-scalar system, we find that for a certain class of the gauge connection, a special kind of non-canonical scalar-field theory admits the positivity property in addition to the ordinary canonical scalar-field system.

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