Aspects of quadratic gravity
By L. Alvarez-Gaumé, A. Kehagias, C. Kounnas, D. Lust, A. Riotto. 2015
245 citations recorded by the source corpus.
We discuss quadratic gravity where terms quadratic in the curvature tensor are included in the action. After reviewing the corresponding field equations, we analyze in detail the physical propagating modes in some specific backgrounds. First we confirm that the pure R2 theory is indeed ghost free. Then we point out that for flat backgrounds the pure R2 theory propagates only a scalar massless mode and no spin‐two tensor mode. However, the latter emerges either by expanding the theory around curved backgrounds like de Sitter or anti‐de Sitter, or by changing the long‐distance dynamics by introducing the standard Einstein term. In both cases, the theory is modified in the infrared and a propagating graviton is recovered. Hence we recognize a subtle interplay between the UV and IR properties of higher order gravity. We also calculate the corresponding Newton's law for general quadratic curvature theories. Finally, we discuss how quadratic actions may be obtained from a fundamental theory like string‐ or M‐theory. We demonstrate that string theory on non‐compact CY3 manifolds, like a line bundle over CP2 , may indeed lead to gravity dynamics determined by a higher curvature action.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/10bbd410b043721825c8c45faffa64f50d865e62
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In Astronomy and Astrophysics
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Citations in the corpus
- Quadratic Gravity (2018, unknown): “8) [12,114] VN(r) = − GNM r ( 1− 4 3 e−M2r + 1 3 e−M0r ) , (5.”
- Anisotropic solutions by gravitational decoupling (2017, methodology): “Indeed, this simple and systematic method could be conveniently exploited in a large number of relevant cases, such as the Einstein-Maxwell [21] and Einstein-Klein-Gordon system [22, 23, 24, 25], for higher derivative gravity [26, 27, 28], f(R)-theories of gravity [29, 30, 31, 32, 33, 34, 35], Hořav”