Critical gravity with a scalar field in four dimensions

Abstract

We consider the critical gravity theory with a scalar field in four dimensions. We find that this theory has the solution corresponding to the de Sitter (dS), anti-de Sitter (AdS), and Minkowski background depending on whether the action includes the cosmological term or not. The Minkowski background is the solution which cannot be obtained in the model without a scalar field. At the critical point, we show that the Abbott-Deser (AD) mass of the Schwarzschild-de Sitter (SdS) black hole and the energy for the massless graviton vanish, whose situation is not changed from the model without a scalar field.

6 pages

References in corpus (6)

• Effective Field Theory for Inflation
• Critical Gravity in Four Dimensions
• D-Dimensional Log Gravity
• Modes of Log Gravity
• Critical and Non-Critical Einstein-Weyl Supergravity
• On Black Hole Stability in Critical Gravities

Cited by in corpus (1)

• One-loop Euclidean Einstein-Weyl gravity in de Sitter universe