Cosmological Perturbations via Quantum Corrections in M-theory

Abstract

In the early universe it is important to take into account quantum effect of the gravity to explain the feature of the inflation. In this paper, we consider the M-theory effective action which consists of 11 dimensional supergravity and (Weyl)${}^4$ terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4 dimensional spacetime. Scalar and tensor perturbations around this background are evaluated analytically and their behaviors are investigated numerically. If we assume that these perturbations are constant at the beginning of the inflation, spectral indices for scalar and tensor perturbations become almost scale invariant.

21 pages, 5 figures, a reference added

References in corpus (4)

• The Standard Model Higgs boson as the inflaton
• Effective Field Theory for Inflation
• Toward the Determination of R^3F^2 Terms in M-theory
• Infinity in string cosmology: A review through open problems