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Título del libro: 11th Marcel Grossmann Meeting On Recent Developments In Theoretical And Experimental General Relativity, Gravitation And Relativistic Field Theories - Proc. Of The Mg11 Meeting On General Relativity
Título del capítulo: Unitary quantization of the gowdy T3 cosmology

Autores UNAM:
ALEJANDRO CORICHI RODRIGUEZ GIL; JERONIMO ALONSO CORTEZ QUEZADA;
Autores externos:

Idioma:
Inglés
Año de publicación:
2008
Palabras clave:

Cosmological modeling; Klein-Gordon; Linearly polarized; Quantum description; Scalar fields; Spatial topologies; Three-torus; Cosmology; Gravitation; Relativity; Topology


Resumen:

We analyze the quantization of the linearly polarized Gowdy spacetimes with the spatial topology of a three-torus. The physical, local degrees of freedom of these cosmologies are described by a scalar field that satisfies a Klein-Gordon type equation in an auxiliary background. We show that a convenient choice of the basic field renders this background static. We quantize the Gowdy model by means of a Fock quantization of this scalar field and prove that the evolution obtained in this way is unitary, in contrast with the situation found previously in other quantizations. In this sense, our construction provides the first consistent quantum description of an inhomogeneous cosmological model. © 2008 World Scientific Publishing Co. Pte. Ltd.


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