Newtonian limit of conformal gravity

O. V. Barabash and Yu. V. Shtanov
Phys. Rev. D 60, 064008 – Published 12 August 1999
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Abstract

We study the weak-field limit of the static spherically symmetric solution of the locally conformally invariant theory advocated in the recent past by Mannheim and Kazanas as an alternative to Einstein’s general relativity. In contrast with the previous works, we consider the physically relevant case where the scalar field that breaks conformal symmetry and generates fermion masses is nonzero. In the physical gauge, in which this scalar field is constant in space-time, the solution reproduces the weak-field limit of the Schwarzschild–(anti) de Sitter solution modified by an additional term that, depending on the sign of the Weyl term in the action, is either oscillatory or exponential as a function of the radial distance. Such behavior reflects the presence of, correspondingly, either a tachyon or a massive ghost in the spectrum, which is a serious drawback of the theory under discussion.

  • Received 14 April 1999

DOI:https://doi.org/10.1103/PhysRevD.60.064008

©1999 American Physical Society

Authors & Affiliations

O. V. Barabash

  • Department of Physics, Shevchenko National University, Kiev 252022, Ukraine

Yu. V. Shtanov*

  • Bogolyubov Institute for Theoretical Physics, Kiev 252143, Ukraine

  • *Email address: shtanov@ap3.bitp.kiev.ua

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Issue

Vol. 60, Iss. 6 — 15 September 1999

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