• Open Access

Causality and a-theorem constraints on Ricci polynomial and Riemann cubic gravities

Yue-Zhou Li, H. Lü, and Jun-Bao Wu
Phys. Rev. D 97, 024023 – Published 19 January 2018

Abstract

In this paper, we study Einstein gravity extended with Ricci polynomials and derive the constraints on the coupling constants from the considerations of being ghost-free, exhibiting an a-theorem and maintaining causality. The salient feature is that Einstein metrics with appropriate effective cosmological constants continue to be solutions with the inclusion of such Ricci polynomials and the causality constraint is automatically satisfied. The ghost-free and a-theorem conditions can only be both met starting at the quartic order. We also study these constraints on general Riemann cubic gravities.

  • Received 21 November 2017

DOI:https://doi.org/10.1103/PhysRevD.97.024023

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Yue-Zhou Li1,*, H. Lü1,†, and Jun-Bao Wu1,2,‡

  • 1Department of Physics, Tianjin University, Tianjin 300350, China
  • 2Center for High Energy Physics, Peking University, Beijing 100871, China

  • *liyuezhou@tju.edu.cn
  • mrhonglu@gmail.com
  • junbao.wu@tju.edu.cn

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Issue

Vol. 97, Iss. 2 — 15 January 2018

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