Manifestly Gauge Invariant Perturbations of Scalar-Tensor Theories of Gravity
arXiv:1501.04947 · doi:10.1088/0264-9381/32/13/135006
Abstract
The general relativistic perturbations of scalar-tensor theories (STT) of gravity are studied in a manifestly gauge invariant Hamiltonian formalism. After the derivation of the Hamiltonian equations of motion in this framework, the gauge invariant formalism is used to compute the evolution equations of linear perturbations around a general relativistic spacetime background in the Jordan frame. These equations are then specialized to the case of a flat FRW cosmological background. Furthermore, the equivalence between the Jordan frame and the Einstein frame of STT in the manifestly gauge invariant Hamiltonian formalism is analyzed, and it is shown that also in this framework they can be related by a conformal transformation. Finally, the obtained evolution equations for the linear perturbations in our formalism are compared with those in the standard cosmological perturbation theory. It turns out that the perturbation equations in the two different formalisms coincide with each other in a suitable limit.
40 pages
References in corpus (6)
- Dynamics of dark energy
- Dark Energy: the equation of state description versus scalar-tensor or modified gravity
- Theory of cosmological perturbations in an anisotropic universe
- Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
- Problem of Time and Background Independence: the Individual Facets
- Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
Cited by in corpus (7)
- Towards a reduced phase space quantization in loop quantum cosmology with an inflationary potential
- Mukhanov-Sasaki equation in manifestly gauge-invariant linearized cosmological perturbation theory with dust reference fields
- Relating dust reference models to conventional systems in manifestly gauge invariant perturbation theory
- Loop quantum cosmological dynamics of scalar-tensor theory in the Jordan frame
- Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
- Nonclassical cosmological dynamics in the low-energy limit of loop quantum scalar-tensor theory
- Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology