Recovering the Geometry of a Flat Spacetime from Background Radiation

Bonsante F, Meusburger C, Schlenker JM (2014)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2014

Journal

Annales Henri Poincaré Institute Henri Poincaré

Publisher: Institute Henri Poincaré

Book Volume: 15

Pages Range: 1733-1799

Journal Issue: 9

DOI: 10.1007/s00023-013-0300-6

Abstract

We consider globally hyperbolic flat spacetimes in 2 + 1 and 3 + 1 dimensions, in which a uniform light signal is emitted on the r-level surface of the cosmological time for r → 0. We show that the frequency shift of this signal, as perceived by a fixed observer, is a well-defined, bounded function which is generally not continuous. This defines a model with anisotropic background radiation that contains information about initial singularity of the spacetime. In dimension 2 + 1, we show that this observed frequency shift function is stable under suitable perturbations of the spacetime, and that, under certain conditions, it contains sufficient information to recover its geometry and topology. We compute an approximation of this frequency shift function for a few simple examples. © 2013 Springer Basel.

Authors with CRIS profile

Cathérine Meusburger Professur für Mathematik (Darstellungstheorie und Mathematische Physik)

Involved external institutions

University of Padua / Universita degli Studi di Padova IT Italy (IT) University of Luxembourg LU Luxembourg (LU)

How to cite

APA:

Bonsante, F., Meusburger, C., & Schlenker, J.-M. (2014). Recovering the Geometry of a Flat Spacetime from Background Radiation. Annales Henri Poincaré, 15(9), 1733-1799. https://dx.doi.org/10.1007/s00023-013-0300-6

MLA:

Bonsante, Francesco, Cathérine Meusburger, and Jean-Marc Schlenker. "Recovering the Geometry of a Flat Spacetime from Background Radiation." Annales Henri Poincaré 15.9 (2014): 1733-1799.

BibTeX: Download