Weighing the spacetime along the line of sight using times of arrival of electromagnetic signals

Korzyński, Mikołaj; Miśkiewicz, Jan; Serbenta, Julius

doi:10.1103/physrevd.104.024026

Cited by 9 publications

(7 citation statements)

References 43 publications

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“…29 See also Refs. [1389][1390][1391] for non-perturbative frameworks for model independent determination of Universe properties.…”

Section: Data Analysis In An Universe With Structure: Accounting For ...mentioning

confidence: 99%

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Abdalla,

Abellán,

Aboubrahim

et al. 2022

Preprint

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This White Paper has been prepared to fulfill SNOWMASS 2021 requirements and it extends the material previously summarized in the four Letters of Interest [1][2][3][4]. The Particle Physics Community Planning Exercise (a.k.a. SNOWMASS ) is organized by the Division of Particles and Fields of the American Physical Society, and this is an effort to bring together the community of theoretical physicists and cosmologists and identify promising opportunities to address the questions described.This White Paper was initiated with the aim of identifying the opportunities in the cosmological field for the next decade, and strengthening the coordination of the community. It is addressed to identifying the most promising directions of investigation, and rather than attempting a long review of the current status of the whole field of research, it focuses on the upcoming theoretical opportunities and challenges described. The White Paper is a collaborative effort led by Eleonora Di Valentino and Luis Anchordoqui, and it is organized in the topics listed below, each of them coordinated by the scientists indicated (alphabetical order):

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“…29 See also Refs. [1389][1390][1391] for non-perturbative frameworks for model independent determination of Universe properties.…”

Section: Data Analysis In An Universe With Structure: Accounting For ...mentioning

confidence: 99%

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Abdalla,

Abellán,

Aboubrahim

et al. 2022

Preprint

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“…Recently, Korzyński and collaborators published a series of papers in which they discussed a (seemingly) differently defined drift in a general spacetime [12][13][14]. They derived a formula for the position drift, not just a zero-drift condition.…”

Section: Motivation and Summarymentioning

confidence: 99%

Conformal Flatness and Conformal Vector Fields on Umbilically Synchronized Space-times

Sharma¹

2023

Acta Phys. Pol. B

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This paper compares three criteria for a spacetime to be free of position drift: those by Hasse and Perlick (HP), Krasiński and Bolejko (KB), and Korzyński and Kopiński (KK). A spacetime having no position drift means that every observer sees all light sources in unchanging directions. The following is shown: (1) The HP criterion is a necessary condition for the KK criterion to apply. (2) If the spacetime metric obeys the Einstein equations with a perfect fluid source, then another necessary condition for the KK criterion is the Weyl tensor being zero. (3) Result (2) points to the Stephani metric, so it is shown that this metric obeys an equation which is still one more necessary condition for the KK criterion. (4) The general Szekeres metrics become drift-free by the KK criterion only in the Friedmann limit. (5) The HP and KB criteria coincide, and the HP zerodrift condition imposes on the Stephani metric the same restriction as found by Krasiński and Bolejko (KB). The relations between the three criteria are displayed and compared in a diagram.

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“…where W XX , W XL , W LX and W LL are 4 bitensors, or two-point tensors, acting from the observation point O to the point λ on the geodesic, called the bilocal geodesic operators (BGO's). The BGO's are functionals of the curvature along γ 0 defined via appropriate ordinary differential equations involving the components optical tidal tensor as coefficients [2,15].…”

Section: Preliminariesmentioning

confidence: 99%

“…It is customary to rewrite the GDE (15) for the two generators of an infinitesimal bundle in terms of the so-called kinematical bundle variables. We first need to decompose the transverse part of the optical tidal tensor into the trace and the traceless part as follows:…”

Section: A(λmentioning

confidence: 99%

Testing the null energy condition with precise distance measurements

Korzyński,

Serbenta

2021

Preprint

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We present an inequality between two types of distance measures to a single source in general relativity. It states that for a given emitter and observer the distance between them measured by the trigonometric parallax is never shorter than the angular diameter distance provided that the null energy condition holds and that there are no focal points in between. This result is independent of the details of the spacetime geometry or the motions of the observer and the source. The proof is based on the geodesic bilocal operator formalism together with well known properties of infinitesimal light ray bundles. Observation of the violation of the distance inequality would mean that on large scales either the null energy condition does not hold or that light does not travel along null geodesics.

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Weighing the spacetime along the line of sight using times of arrival of electromagnetic signals

Cited by 9 publications

References 43 publications

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Conformal Flatness and Conformal Vector Fields on Umbilically Synchronized Space-times

Testing the null energy condition with precise distance measurements

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