Gauge invariance on the light-cone: curvature perturbations and radiative degrees of freedom

Abstract

We derive the expressions on the observed light-cone for some relevant cosmological gauge invariant variables, such as the Mukhanov-Sasaki variable and $E$- and $B$- modes of the tensor perturbations. Since the structure of the light-cone does not reflect in a direct way the FLRW symmetries, we develop a formalism which is coordinate independent and classifies the perturbations according to their helicities. Even though we work with linear perturbations, our formalism can be readily extended to non-linear theory and put the basis to study the evolution of cosmological perturbations, since the early- until the the late- time Universe, directly along the observed light-cone.

arXiv comment35 pages, 1 table. Some clarifications added. Version accepted for publication in JCAP

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Cited by in corpus (4)

• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
• A Light-Cone Approach to Higher-Order Cosmological Observables
• $\delta N$ formalism on the past light-cone