Gravity with Higher Derivatives in D-Dimensions
Abstract
:1. Introduction
- Reduction of action to the scalar tensor gravity. This way is effective for the action in the form
- Direct solution to equations of motion.
- Derivation of approximate equations provided that a system contains a small parameter.
- Method of trial functions.
2. Reduction of Action to the Scalar-Tensor Gravity
2.1. Conformal Transformations in D Dimensions
2.2. The Starobinsky Model
3. Direct Solution to Equations of Motion
- gravity,
- + Gauss–Bonnet gravity.
3.1. Gravity
3.2. Starobinsky Model, Direct Calculation
3.3. + Gauss–Bonnet Gravity
4. Approximate Method
4.1. Basic Idea
4.2. Extension of the Model: Low Energies
4.3. Extension of the Model: Moderate Energies
5. Method of Trial Functions
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
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Rubin, S.G.; Popov, A.; Petriakova, P.M. Gravity with Higher Derivatives in D-Dimensions. Universe 2020, 6, 187. https://doi.org/10.3390/universe6100187
Rubin SG, Popov A, Petriakova PM. Gravity with Higher Derivatives in D-Dimensions. Universe. 2020; 6(10):187. https://doi.org/10.3390/universe6100187
Chicago/Turabian StyleRubin, Sergey G., Arkadiy Popov, and Polina M. Petriakova. 2020. "Gravity with Higher Derivatives in D-Dimensions" Universe 6, no. 10: 187. https://doi.org/10.3390/universe6100187