1995
DOI: 10.1086/176365
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Cosmological Observations in a Local Void

Abstract: A local void in the globally Friedmann-Robertson-Walker (FRW) cosmological model is studied. The inhomogeneity is described using the Lema\^{\i}tre-Tolman-Bondi (LTB) solution with the spherically symmetric matter distribution based on the faint galaxies number counts. We investigate the effects this has on the measurement of the Hubble constant and the redshift--luminosity distance relation for moderately and very distant objects ($z \approx 0.1$ and more). The results, while fully compatible with cosmologica… Show more

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Cited by 56 publications
(90 citation statements)
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References 27 publications
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“…As above, on taking the curl of the resulting equation we obtain a simple constraint which can generically only be satisfied if a 1 vanishes. Another way to prove that necessarily a 1 = 0, is to check that there is no combination of the two possible nontrivial terms in a cubic action, 20) which can compensate the change of (3.1) under δ 1 B µν = H λ µν ǫ λ , i.e., which solves δ 1 L 2 = −δ 0 L 3 . Having proven the triviality of all possible first order deformations, an inductive argument using (3.16) exactly as in [15] shows that…”
Section: Geometric Theoriesmentioning
confidence: 99%
See 1 more Smart Citation
“…As above, on taking the curl of the resulting equation we obtain a simple constraint which can generically only be satisfied if a 1 vanishes. Another way to prove that necessarily a 1 = 0, is to check that there is no combination of the two possible nontrivial terms in a cubic action, 20) which can compensate the change of (3.1) under δ 1 B µν = H λ µν ǫ λ , i.e., which solves δ 1 L 2 = −δ 0 L 3 . Having proven the triviality of all possible first order deformations, an inductive argument using (3.16) exactly as in [15] shows that…”
Section: Geometric Theoriesmentioning
confidence: 99%
“…Equation (5.14) can formally be solved by successive iterations in powers of κ 2 , 19) where, for simplicity, we shall consider a flat background metric, G 20) one gets To quote some numbers, the dimensionless quantity α 5 = g 2 5 /(κ 2 m 2 N ) (where m N denotes, say, one atomic mass unit) was found to be bounded by < ∼ 10 −3 when µ −1 = 1 m, < ∼ 10 −5 when µ −1 = 1 km, and < ∼ 10 −8 for µ −1 > 10 4 km (assuming a coupling to baryon number, i.e. θ 5 = 0 in (5.2); see [27] for precise numbers, the dependence on the mixing angle and further references).…”
Section: )mentioning
confidence: 99%
“…These models require an as yet unknown mechanism for their formation, probably requiring something unusual at the start of inflation to create a model close to spherically symmetric on Hubble scales. They also are in (dire) need of an explanation for the antiCopernican fine tuning that exists: we have to be within tens of Mpc of the centre of spherical symmetry of the 1 We have in mind the 'very big void models' which vary gently over Gpc scales (e.g., [2,13,48]). The density profile reaches full width at half maximum around the Hubble scale.…”
Section: Introductionmentioning
confidence: 99%
“…The existence of the Universe's large-scale structure of voids and superclusters suggests the voids are underdense regions that have been decelerated less due to gravity so they have ballooned up into roughly spherical regions without undergoing structure formation, while the superclusters are overdense regions where gravity has overcome the Universe's expansion such that they have reached turnaround and collapsed in their densest regions. Moffat and Tatarski (1995) looked at what observational effects we would theoretically observe if we were to inhabit a local void. Via comparison of their theoretical curves with a survey of redshift-distance determinations, they found the data were better fit by a model with a local void than by a homogeneous universe.…”
Section: Introductionmentioning
confidence: 99%