Theoretical Necessity of an External Scalar Field in the Kaluza-Klein Theory (I)

Details Theoretical Necessity of an External Scalar Field in the Kaluza-Klein Theory (I) Theoretical Necessity of an External Scalar Field in the Kaluza-Klein Theory (I)

2000-12-21

arxiv.org/abs/gr-qc/0012086v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX2e. Submitted to Classical and Quantum Gravity

Scientific paper

We show that the principle of least action is generally inconsistent with the
usual Kaluza-Klein program, the higher dimensional Einstein-Hilbert action
being unbounded from below. This inconsistency is also present in other
theories with higher dimensions like supergravity. Hence, we conclude to the
necessity of an external scalar field to compensate this flaw.

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