<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2007001000020</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Metric Fluctuations from a NKK theory of gravity in a de Sitter Expansion]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Madriz Aguilar]]></surname>
<given-names><![CDATA[J.E]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bellini]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Michoacana de San Nicolás de Hidalgo Instituto de Física y Matemáticas ]]></institution>
<addr-line><![CDATA[Morelia Michoacán]]></addr-line>
<country>México</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Nacional de Mar del Plata Facultad de Ciencias Exactas y Naturales Departamento de Física]]></institution>
<addr-line><![CDATA[Mar del Plata ]]></addr-line>
<country>Argentina</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2007</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2007</year>
</pub-date>
<volume>53</volume>
<fpage>113</fpage>
<lpage>117</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2007001000020&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2007001000020&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2007001000020&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[A gauge invariant scalar metric fluctuations formalism from a Noncompact Kaluza-Klein (NKK) theory of gravity is presented in this talk notes. In this analysis we recover the well-known result <img border=0 src="../../../../../img/revistas/rmf/v53s4/a20s1.jpg">obtained typically in the standard 4D semiclassical approach to inflation and also the spectrum of these fluctuations become dependent of the fifth (space-like) coordinate. This fact allows to establish an interval of values for the wave number associated with the fifth dimension.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[En estas notas se presenta un formalismo recientemente introducido por los presentes autores para describir fluctuaciones escalares de la metrica invariantes de norma en el contexto de una teoría de Kaluza-Klein no-compacta penta-dimensional. En este analisis se recupera uno de los resultados obtenidos típicamente bajo un tratamiento 4D semiclásico de inflación para las fluctuaciones en la densidad de energía <img border=0 src="../../../../../img/revistas/rmf/v53s4/a20s1.jpg">. Algo a resaltar es que el espectro para estas fluctuaciones es dependiente de la quinta coordenada. Este hecho nos permite establecer cotas para el número de onda asociado a la quinta dimensión.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Scalar metric fluctuations]]></kwd>
<kwd lng="en"><![CDATA[5D apparent vacuum]]></kwd>
<kwd lng="en"><![CDATA[linearized Einstein's equations]]></kwd>
<kwd lng="en"><![CDATA[noncompact fifth dimension]]></kwd>
<kwd lng="es"><![CDATA[Fluctuaciones escalares de la métrica]]></kwd>
<kwd lng="es"><![CDATA[vacío aparente 5D]]></kwd>
<kwd lng="es"><![CDATA[ecuaciones de Einstein linearizadas]]></kwd>
<kwd lng="es"><![CDATA[quinta dimensión no-compacta]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="center"><font face="verdana" size="4"><b>Metric Fluctuations from a NKK theory of gravity in a de Sitter Expansion</b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>J.E. Madriz Aguilar* y </b><b>M. Bellini**</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i>* Instituto de F&iacute;sica y Matem&aacute;ticas, Universidad Michoacana de San Nicol&aacute;s de Hidalgo, Apartado Postal 2&#150;82, (58040) Morelia, Michoac&aacute;n, M&eacute;xico, e&#150;mail: <a href="mailto:edgar@ifm.umich.mx" target="_blank">edgar@ifm.umich.mx</a></i></font></p>     <p align="justify"><font face="verdana" size="2"><i>** Departamento de F&iacute;sica, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Consejo Nacional de Ciencia y Tecnolog&iacute;a, Funes 3350, (7600) Mar del Plata, Argentina, e&#150;mail: <a href="mailto:mbellini@mdp.edu.ar" target="_blank">mbellini@mdp.edu.ar</a></i></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Recibido el 1 de mayo de 2006    <br>   Aceptado el 1 de noviembre de 2006</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     <p align="justify"><font face="verdana" size="2">A gauge invariant scalar metric fluctuations formalism from a Noncompact Kaluza&#150;Klein (NKK) theory of gravity is presented in this talk notes. In this analysis we recover the well&#150;known result <img src="/img/revistas/rmf/v53s4/a20s1.jpg"> obtained typically in the standard 4D semiclassical approach to inflation and also the spectrum of these fluctuations become dependent of the fifth (space&#150;like) coordinate. This fact allows to establish an interval of values for the wave number associated with the fifth dimension.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>Scalar metric fluctuations; 5D apparent vacuum; linearized Einstein's equations; noncompact fifth dimension.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>     <p align="justify"><font face="verdana" size="2">En estas notas se presenta un formalismo recientemente introducido por los presentes autores para describir fluctuaciones escalares de la metrica invariantes de norma en el contexto de una teor&iacute;a de Kaluza&#150;Klein no&#150;compacta penta&#150;dimensional. En este analisis se recupera uno de los resultados obtenidos t&iacute;picamente bajo un tratamiento 4D semicl&aacute;sico de inflaci&oacute;n para las fluctuaciones en la densidad de energ&iacute;a <img src="/img/revistas/rmf/v53s4/a20s1.jpg">. Algo a resaltar es que el espectro para estas fluctuaciones es dependiente de la quinta coordenada. Este hecho nos permite establecer cotas para el n&uacute;mero de onda asociado a la quinta dimensi&oacute;n.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Descriptores: </b>Fluctuaciones escalares de la m&eacute;trica; vac&iacute;o aparente 5D; ecuaciones de Einstein linearizadas; quinta dimensi&oacute;n no&#150;compacta.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">PACS: 04.20.Jb; 11.10Kk; 98.80.Cq; 01.30.Cc</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v53s4/v53s4a20.pdf">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. J.E. Madriz A., M. Anabitarte, and M. Bellini,<i> Phys. Lett. B </i><b>632 </b>(2006) 6.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8341348&pid=S0035-001X200700100002000001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">2. V.F. Mukhanov, H.A. Feldman, and R. Brandenberger, <i>Phys. 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