Non-linear general relativistic effects in the observed redshift

Fanizza, Giuseppe; Yoo, Jaiyul; Biern, Sang Gyu

doi:10.1088/1475-7516/2018/09/037

Cited by 28 publications

(35 citation statements)

References 98 publications

(239 reference statements)

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“…In that case, we can always make the linear inhomogeneities vanish at a given time, by exploiting the residual gauge freedom of the synchronous coordinates [5]. This is also in agreement with the results recently presented in [7].…”

Section: Angular Directions In the Fermi And Synchronous Gaugesupporting

confidence: 90%

Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge

Fanizza

Gasperini

Marozzi

et al. 2019

J. Cosmol. Astropart. Phys.

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We show that the angular directions locally measured by a static geodesic observer in a generic cosmological background and expressed in the system of Fermi Normal Coordinates always coincide with those expressed in the Geodesic-Light-Cone (GLC) gauge, up to a local transformation which exploits the residual gauge freedom of the GLC coordinates. This is not the case for other gauges -like, for instance, the synchronous and longitudinal gauge -commonly used in the context of observational cosmology. We also make an explicit proposal for the GLC gauge-fixing condition that ensures a full identification of its angles with the observational ones.

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Section: Angular Directions In the Fermi And Synchronous Gaugesupporting

confidence: 90%

Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge

Fanizza

Gasperini

Marozzi

et al. 2019

J. Cosmol. Astropart. Phys.

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show abstract

“…is the Shapiro time delay [49]. The quantities δx 0 o and δx i o , derived in the Appendix B following [50,51], have their origin from the fact that the physical coordinate time t 0 ¼ tðη ¼ η 0 Þ ¼ t in þ R η 0 η in aðηÞdη does not coincide with the proper time of the observer T 0 in an inhomogeneous universe. We have…”

Section: First Order Metric Termsmentioning

confidence: 99%

Projection effects on the observed angular spectrum of the astrophysical stochastic gravitational wave background

et al. 2020

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The detection and characterization of the stochastic gravitational wave background (SGWB) is one of the main goals of gravitational wave (GW) experiments. The observed SGWB will be the combination of GWs from cosmological (as predicted by many models describing the physics of the early universe) and astrophysical origins, which will arise from the superposition of GWs from unresolved sources whose signal is too faint to be detected. Therefore, it is important to have a proper modeling of the astrophysical SGWB (ASGWB) in order to disentangle the two signals; moreover, this will provide additional information on astrophysical properties of compact objects. Applying the cosmic rulers formalism, we compute the observed ASGWB angular power spectrum, hence using gauge-invariant quantities, accounting for all effects intervening between the source and the observer. These are the so-called projection effects, which include Kaiser, Doppler, and gravitational potentials effect. Our results show that these projection effects are the most important at the largest scales, and they contribute to up to tens of percent of the angular power spectrum amplitude, with the Kaiser term being the largest at all scales. While the exact impact of these results will depend on instrumental and astrophysical details, a precise theoretical modeling of the ASGWB will necessarily need to include all these projection effects.

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“…( 6). A similar relation can be derived for the spatial coordinate shift with respect to the reference position [22], but for our purposes of the linear-order analysis only the coordinate lapse δη o will be used.…”

Section: Observed Cmb Temperaturementioning

confidence: 99%

Monopole fluctuation of the CMB and its gauge invariance

Baumgartner

Yoo

2021

Phys. Rev. D

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The standard theoretical description Θ( n )of theobservedcosmicmicrowavebackground(CM B)temperatureanis invarianttheoreticaldescriptionof theobservedCM BtemperatureanisotropiesandcomputethemonopolepowerC0 = 1.66»109inaCDM model.W hilethegaugedependenceinthestandardcalculationsoriginatesf romtheambiguityindef iningt dependentobservable.Adoptingsimpleapproximationsf ortheanisotropyf ormation, wederiveagauge−invariantanalytica

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Non-linear general relativistic effects in the observed redshift

Cited by 28 publications

References 98 publications

Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge

Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge

Projection effects on the observed angular spectrum of the astrophysical stochastic gravitational wave background

Monopole fluctuation of the CMB and its gauge invariance

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