Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning
arXiv:0808.1943 · doi:10.1103/PhysRevD.78.064017
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.
14 pages, LaTex, to appear in Phys. Rev. D
References in corpus (11)
- New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
- Metric-affine f(R) theories of gravity
- Dark Energy: the equation of state description versus scalar-tensor or modified gravity
- Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
- The (pseudo)issue of the conformal frame revisited
- Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
- A no-go theorem for polytropic spheres in Palatini f(R) gravity
- Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
- The Cauchy problem of f(R) gravity
- Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
- Local transformations of units in Scalar-Tensor Cosmology