A comment on "The Cauchy problem of f(R)- gravity", Class. Quantum Grav., 24, 5667 (2007), arXiv:0709.4414

TL;DR

This paper critically examines the formulation of the Cauchy problem in metric-affine $f(R)$-gravity, highlighting issues and clarifying theoretical aspects of the well-posedness of the initial value problem.

Contribution

It provides a detailed critique of previous work on the Cauchy problem in $f(R)$-gravity, clarifying the conditions for well-posedness in metric-affine theories.

Findings

Identifies issues in the formulation of the Cauchy problem in $f(R)$-gravity.

Clarifies the conditions necessary for a well-posed initial value problem.

Highlights differences between metric and metric-affine formulations.

Abstract

A critical comment on [N. Lanahan--Tremblay and V. Faraoni, 2007, {\it Class. Quantum Grav.}, {\bf 24}, 5667, arXiv:0709.4414] is given discussing the well-formulation of the Chauchy problem for $f(R)$-gravity in metric-affine theories.