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    The lapse function in Friedmann—Lemaître–Robertson–Walker cosmologies

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    Name:
    lapse.pdf
    Embargo:
    2021-10-26
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    199.1Kb
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    PDF
    Description:
    Final Accepted Manuscript
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    Author
    Melia, F.
    Affiliation
    Univ Arizona, Dept Phys, Program Appl Math
    Univ Arizona, Dept Astron
    Issue Date
    2019-12
    Keywords
    Cosmological principle
    FLRW metric
    Local Flatness Theorem
    Zero active mass
    
    Metadata
    Show full item record
    Publisher
    ACADEMIC PRESS INC ELSEVIER SCIENCE
    Citation
    Melia, F. (2019). The lapse function in Friedmann—Lemaître–Robertson–Walker cosmologies. Annals of Physics, 411, 167997.
    Journal
    ANNALS OF PHYSICS
    Rights
    © 2019 Elsevier Inc. All rights reserved.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    The Friedmann-LemaTtre-Robertson-Walker (FLRW) metric, the backbone of modem cosmology, is founded on the cosmological principle, which assumes homogeneity and isotropy throughout the cosmos. One of its simplifications is the choice of lapse function g(tt) = 1, regardless of which stress-energy tensor T-mu v is used in Einstein's field equations. It is sometimes argued that this selection is justified by gauge freedom, given that g(tt) in FLRW may be a function solely of t, not of the spatial coordinates, permitting a redefinition of the time. We show in this paper, however, that the comoving frame in the Hubble expansion is non inertial for all but a few special cases of the expansion factor a(t). Changing the gauge changes the frame of reference and cannot alter this property of the expansion profile, since it would of necessity reformat the metric using the coordinates of a noncomoving observer. We therefore suggest that the pre-selection of g(tt )= 1, independently of the equation of state in the cosmic fluid, incorrectly avoids the time dilation that ought to be present relative to the actual free-falling frame when (a) over dot not equal 0. (C) 2019 Elsevier Inc. All rights reserved.
    Note
    24 month embargo; published online: 26 October 2019
    ISSN
    0003-4916
    DOI
    10.1016/j.aop.2019.167997
    Version
    Final accepted manuscript
    Sponsors
    Amherst College, USA through a John Woodruff Simpson Fellowship
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.aop.2019.167997
    Scopus Count
    Collections
    UA Faculty Publications

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