Non-Gaussianities from isocurvature modes

This contribution discusses isocurvature modes, in particular the non-Gaussianities of local type generated by these modes. Since the isocurvature transfer functions differ from the adiabatic one, the coexistence of a primordial isocurvature mode with the usual adiabatic mode leads to a rich structure of the angular bispectrum, which can be decomposed into six elementary bispectra. Future analysis of the CMB data will enable to measure their relative weights, or at least constrain them. Non-Gaussianity thus provides a new window on isocurvature modes. This is particularly relevant for some scenarios, such as those presented here, which generate isocurvature modes whose contribution in the power spectrum is suppressed, as required by present data, but whose contribution in the non-Gaussianities could be dominant and measurable.Comment: 8 pages, 2 figures; to appear in the Proceedings of COSGRAV-2012 (International Conference on Modern Perspectives of Cosmology and Gravitation), Indian Statistical Institute, Kolkata, India, February 7-11, 201

Hawking radiation for Dirac spinors on the RP^3 geon

We analyse the Hawking(-Unruh) effect for a massive Dirac spinor on the Z_2 quotient of Kruskal spacetime known as the RP^3 geon. There are two distinct Hartle-Hawking-like vacua, depending on the choice of the spin structure, and suitable measurements in the static region (which on its own has only one spin structure) distinguish these two vacua. However, both vacua appear thermal in the usual Hawking temperature to certain types of restricted operators, including operators with support in the asymptotic future (or past). Similar results hold in a family of topologically analogous flat spacetimes, where we show the two vacua to be distinguished also by the shear stresses in the zero-mass limit. As a by-product, we display the explicit Bogolubov transformation between the Rindler-basis and the Minkowski-basis for massive Dirac fermions in four-dimensional Minkowski spacetime.Comment: 23 pages, no figures, uses amsmath, amssymb, latexsym packages, replaced with version published in Phys.Rev.

Cosmological evolution in a brane-universe

The idea of extra-dimensions has recently gone through a renewal with the hypothesis, suggested by recent developments in string theory, that ordinary matter is confined to a sub-space, called brane, embedded in a higher dimensional spacetime. I summarize here some consequences in cosmology of this type of models. The most remarkable aspect is that the Friedmann laws, which govern the expansion of the Universe, are modified. An important direction of research is the study of cosmological perturbations and the possible signature of extra-dimensions in cosmological observations.Comment: 2 pages, "mprocl.sty" with LaTeX 2.09; contribution to the 9th Marcel Grossmann Meeting (MG9), Rome, July 200