Author
Nicolas Lanahan-Tremblay
Bio: Nicolas Lanahan-Tremblay is an academic researcher from Bishop's University. The author has contributed to research in topics: f(R) gravity & Cauchy problem. The author has an hindex of 4, co-authored 4 publications receiving 141 citations.
Papers
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TL;DR: In this article, the initial value problem of metric and Palatini f(R) gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity.
Abstract: The initial value problem of metric and Palatini f(R) gravity is studied by using the dynamical equivalence between these theories and Brans–Dicke gravity. The Cauchy problem is well formulated for metric f(R) gravity in the presence of matter and well posed in vacuo. For Palatini f(R) gravity, instead, the Cauchy problem is not well formulated.
78 citations
TL;DR: Chiba and Erickcek as mentioned in this paper complete the analysis of the weak-field limit of metric $f(R)$ gravity in [T. Chiba, T. L. Smith, and A. E. Erickckek, 2007].
Abstract: We comment on, and complete, the analysis of the weak-field limit of metric $f(R)$ gravity in [T. Chiba, T. L. Smith, and A. L. Erickcek, Phys. Rev. D 75, 124014 (2007).].
36 citations
TL;DR: This paper revisited singularities of two distinct kinds in the Cauchy problem of general scalar-tensor theories of gravity and metric and Palatini f(R) gravity, in both their Jordan and Einstein frame representations.
Abstract: We revisit singularities of two distinct kinds in the Cauchy problem of general scalar-tensor theories of gravity (previously discussed in the literature), and of metric and Palatini f(R) gravity, in both their Jordan and Einstein frame representations. Examples and toy models are used to shed light onto the problem and it is shown that, contrary to common lore, the two conformal frames are equivalent with respect to the initial value problem.
25 citations
TL;DR: In this paper, the initial value problem of metric and Palatini f(R) gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity.
Abstract: The initial value problem of metric and Palatini f(R)gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity. The Cauchy problem is well-formulated for metric f(R)gravity in the presence of matter and well-posed in vacuo. For Palatini f(R)gravity, instead, the Cauchy problem is not well-formulated.
9 citations
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TL;DR: In this article, the authors present a review of the most important aspects of the different classes of modified gravity theories, including higher-order curvature invariants and metric affine.
Abstract: Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology, and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories that include higher-order curvature invariants, and specifically the particular class of $f(R)$ theories, have a long history. In the last five years there has been a new stimulus for their study, leading to a number of interesting results. Here $f(R)$ theories of gravity are reviewed in an attempt to comprehensively present their most important aspects and cover the largest possible portion of the relevant literature. All known formalisms are presented---metric, Palatini, and metric affine---and the following topics are discussed: motivation; actions, field equations, and theoretical aspects; equivalence with other theories; cosmological aspects and constraints; viability criteria; and astrophysical applications.
4,027 citations
TL;DR: A comprehensive survey of recent work on modified theories of gravity and their cosmological consequences can be found in this article, where the authors provide a reference tool for researchers and students in cosmology and gravitational physics, as well as a selfcontained, comprehensive and up-to-date introduction to the subject as a whole.
3,674 citations
TL;DR: In this article, the structure and cosmological properties of a number of modified theories, including traditional F (R ) and Hořava-Lifshitz F ( R ) gravity, scalar-tensor theory, string-inspired and Gauss-Bonnet theory, non-local gravity, nonminimally coupled models, and power-counting renormalizable covariant gravity are discussed.
3,513 citations
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TL;DR: Various applications of f(R) theories to cosmology and gravity — such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds are reviewed.
Abstract: Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity - such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds. We present a number of ways to distinguish those theories from General Relativity observationally and experimentally. We also discuss the extension to other modified gravity theories such as Brans-Dicke theory and Gauss-Bonnet gravity, and address models that can satisfy both cosmological and local gravity constraints.
3,375 citations
TL;DR: Extended Theories of Gravity as discussed by the authors can be considered as a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales, which is an approach that, by preserving the undoubtedly positive results of Einstein's theory, is aimed to address conceptual and experimental problems recently emerged in astrophysics, cosmology and High Energy Physics.
2,776 citations