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title: "Quantum Dynamics of Inhomogeneous Kaluza-Klein Cosmological Models near the Cosmological Singularity • CBPF Index"
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**Nota de Física****Publicado**

# **Quantum Dynamics of Inhomogeneous Kaluza-Klein Cosmological Models near the Cosmological Singularity**

**Alexander A. Kirillov; Vitaly N. Melnikov**

1995

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## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>Alexander A. Kirillov; Vitaly N. Melnikov</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>1995</dd>

<dt>Descripción</dt>
<dd>Quantum dynamics of inhomogeneous Kaluza-Klein cosmological models in the vicinity of a cosmological singularity is considered. We use the Kasner-like parametrization to divide dynamical variables in two parts. The first part contains scale functions of Kasner vectors and behaves near the singularity like ordinary scalar fields. The second part containing residual variables has behavior like a set of vectors fields and in leading order turns out to be negligible as that of the ordinary matter sources having equations of state &lt;math&gt;\varepsilon &gt; p\!\,&lt;/math&gt;. Within that approximation we solve the Wheelr-DeWitt equation and define the probability interpretation by means of singling out a positive-frequency sector in the space of solutions. In virtue of an ambiguity of such a procedure it is argued the need of some kind a third quantization for gravity. We suggest a scheem for third quantization and show that properties of inhomogeneities can be generated mostly by vacuum polarization effects in a third quantized theory.</dd>

<dt>Año</dt>
<dd>1995</dd>

<dt>Número</dt>
<dd>CBPF-NF-037/95</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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```

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