Perturbative method to solve fourth-order gravity field equations

M. Campanelli, C. O. Lousto, and J. Audretsch
Phys. Rev. D 49, 5188 – Published 15 May 1994
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Abstract

We develop a method for solving the field equations of a quadratic gravitational theory coupled to matter. The quadratic terms are written as a function of the matter stress tensor and its derivatives in such a way as to have, order by order, a set of Einstein field equations with an effective Tμν. We study the cosmological scenario recovering the de Sitter exact solution, and the first order (in the coupling constants α and β appearing in the gravitational Lagrangian) solution to the gauge cosmic string metric and the charged black hole. For this last solution we discuss the consequences on the thermodynamics of black holes, and, in particular, the entropy-area relation which gets additional terms to the usual A4 value.

  • Received 15 November 1993

DOI:https://doi.org/10.1103/PhysRevD.49.5188

©1994 American Physical Society

Authors & Affiliations

M. Campanelli

  • Fakultät für Physik der Universität Konstanz, Postfach 5560 M 674, D-78434 Konstanz, Germany

C. O. Lousto*

  • Fakultät für Physik der Universität Konstanz, Postfach 5560 M 674, D-78434 Konstanz, Germany
  • Universidad Autönoma de Barcelona, IFAE, Grupo de Física Teórica, E-08193 Bellaterra, Barcelona, Spain

J. Audretsch

  • Fakultät für Physik der Universität Konstanz, Postfach 5560 M 674, D-78434 Konstanz, Germany

  • *Electronic address: Lousto@ifae.es Permanent address: Instituto de Astronomía y Física del Espacio, Casilla de Correo 67-Sucursal 28, 1428 Buenos Aires, Argentina. Electronic address: lousto@iafe.edu.ar

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Vol. 49, Iss. 10 — 15 May 1994

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