Two theorems on flat space-time gravitational theories |
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Authors: | Mario Castagnino Luis Chimento |
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Institution: | (1) Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Buenos Aires, Pabellón 1, Ciudad Universitaria, Buenos Aires, Argentina |
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Abstract: | The first theorem states that all flat space-time gravitational theories must have a Lagrangian with a first term that is an homogeneous (degree-1) function of the 4-velocityu
i
, plus a functional of
ij
u
i
u
j
. The second theorem states that all gravitational theories, that satisfy the strong equivalence principle have a Lagrangian with a first termg
ij
(x)u
i
u
j
plus an irrelevant term. In both cases the theories must issue from a unique variational principle. Therefore, under this condition it is impossible to find a flat space-time theory that satisfies the strong equivalence principle. |
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Keywords: | |
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