<?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>1870-3542</journal-id>
<journal-title><![CDATA[Revista mexicana de física E]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fís. E]]></abbrev-journal-title>
<issn>1870-3542</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-35422016000100031</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Sobre la naturaleza, tensorial o no tensorial, de los símbolos de Christoffel]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Patiño]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Söhle]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[México ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2016</year>
</pub-date>
<volume>62</volume>
<numero>1</numero>
<fpage>31</fpage>
<lpage>39</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-35422016000100031&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-35422016000100031&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-35422016000100031&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Al estudiar un primer curso de Relatividad General y aprender sobre los símbolos de Christoffel, es fácil notar que sus componentes coordenadas no transforman como lo haría un tensor. Es por ello que resulta confuso encontrar libros de texto de alto prestigio en el área que se refieren a estos símbolos como si fueran un tensor, siendo un ejemplo notable de estos libros el escrito por Robert Wald 1, que ha sido usado como libro de texto estándar en muchas instituciones a nivel mundial. La alternativa más simple sería suponer que los libros como los mencionados en el párrafo anterior describen a los símbolos de Christoffel de manera equivocada, pero esto no es el caso. Entender el fundamento matemático por el cual ciertos autores deliberadamente se refieren a los símbolos de Christoffel como si fueran un tensor aporta un entendimiento relevante de la naturaleza de la conexión métrica en Relatividad General, y es por ello que en este artículo nos hemos dado a la labor de presentar el análisis necesario. La discusión aquí presentada está enfocada a estudiantes que hayan tomado al menos un curso de relatividad general, así que algunas de las herramientas teóricas se considerarán conocidas.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[From the first approach to General Relativity we learn about the Christoffel symbols, and it is easy to notice that their coordinated components do not transform as a tensor. It is then confusing to find renowned books on the subject that refer to these symbols as if they were indeed a tensor. A prominent example of such a book is the one written by Rober Wald 1, which has been embraced as a textbook on the matter by a large amount of prestigious institutions around the globe. The simplest alternative would be to think that the books just mentioned provide a wrong description of the Christoffel symbols, but this is not the case. Understanding the mathematical foundation of why some authors treat the Christoffel symbols as a tensor provides valuable insight about the nature of the metric connection in General Relativity, and that is why in this paper we dedicate the space to provide the needed analysis. The discussion provided here is aimed to those that have already taken at least one class in General Relativity, hence some of the theoretical tools will be taken as known by the reader.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[General relativity]]></kwd>
<kwd lng="en"><![CDATA[Christoffel symbols]]></kwd>
<kwd lng="en"><![CDATA[tensors]]></kwd>
<kwd lng="es"><![CDATA[Relatividad general]]></kwd>
<kwd lng="es"><![CDATA[símbolos de Christoffel]]></kwd>
<kwd lng="es"><![CDATA[tensores]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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</article>
