Electromagnetic and Gravitational Waves on a de Sitter background

Montaquila, Roberto Valentino (2009) Electromagnetic and Gravitational Waves on a de Sitter background. [Tesi di dottorato] (Inedito)

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Abstract

One of the longstanding problems of modern gravitational physics is the detection of gravitational waves, for which the standard theoretical analysis relies upon the split of the space-time metric g into background plus perturbations. However, the background isn't necessarily Minkowskian in several cases of physical interest. As a consequence, we investigate in more detail what happens if the background space-time has a non-vanishing Riemann curvature. In particular, we want to perform an analysis of electromagnetic and gravitational waves in the de Sitter space-time. Achieving solutions in this maximally symmetric background could constitute the paradigm to investigate any curved space-time by the same techniques and could have interesting cosmological applications. It is by now well known that the problem of solving vector and tensor wave equations in curved space-time is in general a challenge even for the modern computational resources. Within this framework, a striking problem is the coupled nature of the set of hyperbolic equations one arrives at. The Maxwell equations for the electromagnetic potential, supplemented by the Lorenz gauge condition, are decoupled and solved exactly in de Sitter space-time studied in static spherical coordinates. This method is extended to the tensor wave equation of metric perturbations on a de Sitter background and a numerical analysis of solutions is performed. This approach is a step towards a general discussion of gravitational waves in any curved background and might assume relevance in cosmology in order to study the stochastic background emerging from inflation.

Tipologia di documento:Tesi di dottorato
Parole chiave:Electromagnetic Gravitational Waves
Settori scientifico-disciplinari MIUR:Area 02 Scienze fisiche > FIS/02 FISICA TEORICA, MODELLI E METODI MATEMATICI
Coordinatori della Scuola di dottorato:
Coordinatore del Corso di dottoratoe-mail (se nota)
Marrucci, Lorenzolorenzo.marrucci@na.infn.it
Tutor della Scuola di dottorato:
Tutor del Corso di dottoratoe-mail (se nota)
Esposito, Giampierogesposit@na.infn.it
Bini, Donatobinid@icra.it
Stato del full text:Accessibile
Data:30 Novembre 2009
Numero di pagine:80
Istituzione:Università degli Studi di Napoli Federico II
Dipartimento o Struttura:Scienze Fisiche
Tipo di tesi:Dottorato
Stato dell'Eprint:Inedito
Scuola di dottorato:Scienze Fisiche
Denominazione del dottorato:Fisica Fondamentale Applicata
Ciclo di dottorato:XXI
Numero di sistema:3793
Depositato il:14 Maggio 2010 14:22
Ultima modifica:14 Maggio 2010 14:22

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