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The Mathematical Validity of the $f(R)$ Theory of Modified Gravity
 
Philippe G. LeFloch Université Pierre et Marie Curie, Paris, France
Yue Ma Xi’an Jiaotong University, China
A publication of the Société Mathématique de France
The Mathematical Validity of the f(R) Theory of Modified Gravity
Softcover ISBN:  978-2-85629-849-7
Product Code:  SMFMEM/150
List Price: $52.00
AMS Member Price: $41.60
Please note AMS points can not be used for this product
The Mathematical Validity of the f(R) Theory of Modified Gravity
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The Mathematical Validity of the $f(R)$ Theory of Modified Gravity
Philippe G. LeFloch Université Pierre et Marie Curie, Paris, France
Yue Ma Xi’an Jiaotong University, China
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-849-7
Product Code:  SMFMEM/150
List Price: $52.00
AMS Member Price: $41.60
Please note AMS points can not be used for this product
  • Book Details
     
     
    Mémoires de la Société Mathématique de France
    Volume: 1502017; 119 pp
    MSC: Primary 83; 35

    This monograph solves the Cauchy problem for the \(f(R)\) theory of modified gravity, which generalizes Einstein's theory. In the Einstein–Hilbert functional, the spacetime scalar curvature \(R\) is replaced by a nonlinear function \(f(R)\). The field equations are of order four in the derivatives of the metric.

    In this pioneering work, the authors provide a rigorous validation of this theory by analyzing the singular convergence of \(f(R)\) toward \(R\).

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and research mathematicians interested in the theory of modified gravity.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 1502017; 119 pp
MSC: Primary 83; 35

This monograph solves the Cauchy problem for the \(f(R)\) theory of modified gravity, which generalizes Einstein's theory. In the Einstein–Hilbert functional, the spacetime scalar curvature \(R\) is replaced by a nonlinear function \(f(R)\). The field equations are of order four in the derivatives of the metric.

In this pioneering work, the authors provide a rigorous validation of this theory by analyzing the singular convergence of \(f(R)\) toward \(R\).

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in the theory of modified gravity.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.