The regular state in higher-order gravity

We consider the higher-order gravity theory derived from the quadratic lagrangian \(R+\epsilon R^2\) in vacuum as a first-order (ADM-type) system with constraints, and build time developments of solutions of an initial value formulation of the theory. We show that all such solutions, if analytic, co...

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Bibliographic Details
Published in:arXiv.org 2016-08
Main Authors: Cotsakis, Spiros, Kadry, Seifedine, Trachilis, Dimitrios
Format: Article
Language:English
Subjects:
Asymptotic series
Exact solutions
Gravitation
Mathematical analysis
Power series
Series expansion
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Summary:We consider the higher-order gravity theory derived from the quadratic lagrangian \(R+\epsilon R^2\) in vacuum as a first-order (ADM-type) system with constraints, and build time developments of solutions of an initial value formulation of the theory. We show that all such solutions, if analytic, contain the right number of free functions to qualify as general solutions of the theory. We further show that any regular analytic solution which satisfies the constraints and the evolution equations can be given in the form of an asymptotic formal power series expansion.
ISSN:2331-8422
DOI:10.48550/arxiv.1212.2412