1977Journal of Physics A Mathematical and GeneralOpen access

Birkhoff's theorem and scalar-tensor theories of gravitation

K. D. Krori, D. Nandy

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Abstract

It is shown that a sufficient condition for Birkhoff's (1927) theorem to hold for the Sen-Dunn (1971) and Ross (1972) scalar-tensor theories of gravitation is that the scalar field should be time-invariant. An earlier result due to Reddy (1973) in the case of the Sen-Dunn theory is thus corrected.

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It is shown that a sufficient condition for Birkhoff's (1927) theorem to hold for the Sen-Dunn (1971) and Ross (1972) scalar-tensor theories of gravitation is that the scalar field should be time-invariant. An earlier result due to Reddy (1973) in the case of the Sen-Dunn theory is thus corrected.

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Available abstract

It is shown that a sufficient condition for Birkhoff's (1927) theorem to hold for the Sen-Dunn (1971) and Ross (1972) scalar-tensor theories of gravitation is that the scalar field should be time-invariant. An earlier result due to Reddy (1973) in the case of the Sen-Dunn theory is thus corrected.

Key concepts: Scalar theories of gravitation, Scalar–tensor theory, Mathematical physics, Scalar (mathematics), Gravitation, Scalar field, Classical field theory, Invariant (physics)

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