TIME-DEPENDENT EXTRA DIMENSION AND HIGHER-DIMENSIONAL MODIFICATIONS TO THE MATTER CONTENT IN FRW SPACETIMES.

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Title: TIME-DEPENDENT EXTRA DIMENSION AND HIGHER-DIMENSIONAL MODIFICATIONS TO THE MATTER CONTENT IN FRW SPACETIMES.
Authors: LA CAMERA, M.1 lacamera@ge.infn.it
Source: Modern Physics Letters A. 3/28/2010, Vol. 25 Issue 10, p781-792. 12p.
Subjects: Branes, Superstring theories, Manifolds (Mathematics), Hypersurfaces, Ponce de León, Juan, b. ca. 1460-1521, Spacetime
Abstract: In this work we suggest that higher-dimensional modifications to the matter content in FRW spacetimes can be obtained not only, as first considered by Ponce de Leon, referring to "moving" 4D hypersurfaces non-orthogonal to the time-dependent extra dimension of an embedding 5D manifold, but also referring to "fixed" 4D hypersurfaces orthogonal to a suitable scalar function which defines a static foliation of the 5D manifold and takes the role of the extra dimension in a suitable coordinate system. Results obtained in each approach crucially depend on the method used to identify the 4D metric of our brane universe from the 5D metric of the bulk manifold. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: In this work we suggest that higher-dimensional modifications to the matter content in FRW spacetimes can be obtained not only, as first considered by Ponce de Leon, referring to "moving" 4D hypersurfaces non-orthogonal to the time-dependent extra dimension of an embedding 5D manifold, but also referring to "fixed" 4D hypersurfaces orthogonal to a suitable scalar function which defines a static foliation of the 5D manifold and takes the role of the extra dimension in a suitable coordinate system. Results obtained in each approach crucially depend on the method used to identify the 4D metric of our brane universe from the 5D metric of the bulk manifold. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S021773231003286X
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      – Code: eng
        Text: English
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    Subjects:
      – SubjectFull: Branes
        Type: general
      – SubjectFull: Superstring theories
        Type: general
      – SubjectFull: Manifolds (Mathematics)
        Type: general
      – SubjectFull: Hypersurfaces
        Type: general
      – SubjectFull: Ponce de León, Juan, b. ca. 1460-1521
        Type: general
      – SubjectFull: Spacetime
        Type: general
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      – TitleFull: TIME-DEPENDENT EXTRA DIMENSION AND HIGHER-DIMENSIONAL MODIFICATIONS TO THE MATTER CONTENT IN FRW SPACETIMES.
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              Text: 3/28/2010
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