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dc.contributor.authorMelia, F.
dc.date.accessioned2020-01-16T18:27:48Z
dc.date.available2020-01-16T18:27:48Z
dc.date.issued2019-12
dc.identifier.citationMelia, F. (2019). The lapse function in Friedmann—Lemaître–Robertson–Walker cosmologies. Annals of Physics, 411, 167997.en_US
dc.identifier.issn0003-4916
dc.identifier.doi10.1016/j.aop.2019.167997
dc.identifier.urihttp://hdl.handle.net/10150/636477
dc.description.abstractThe 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.en_US
dc.description.sponsorshipAmherst College, USA through a John Woodruff Simpson Fellowshipen_US
dc.language.isoenen_US
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEen_US
dc.rights© 2019 Elsevier Inc. All rights reserved.en_US
dc.subjectCosmological principleen_US
dc.subjectFLRW metricen_US
dc.subjectLocal Flatness Theoremen_US
dc.subjectZero active massen_US
dc.titleThe lapse function in Friedmann—Lemaître–Robertson–Walker cosmologiesen_US
dc.typeArticleen_US
dc.contributor.departmentUniv Arizona, Dept Phys, Program Appl Mathen_US
dc.contributor.departmentUniv Arizona, Dept Astronen_US
dc.identifier.journalANNALS OF PHYSICSen_US
dc.description.note24 month embargo; published online: 26 October 2019en_US
dc.description.collectioninformationThis 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.en_US
dc.eprint.versionFinal accepted manuscripten_US
dc.source.volume411
dc.source.beginpage167997


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