Extended gravitational clock compass: New exact solutions and simulations

Neumann, Gerald; Puetzfeld, Dirk; Rubilar, Guillermo F.

doi:10.1103/physrevd.102.044027

Cited by 2 publications

(2 citation statements)

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“…It generalises the notion of the gravitational compass introduced by Szekeres [19] and developed also by other authors [20][21][22][23]. The setup we discuss may be also be considered a special case of an extended gravitational clock compass in the terminology of [16][17][18], consisting of two distinct groups of clocks. Unlike the former, it is only extended along a single null geodesic, and therefore it is only able to measure some of the curvature components.…”

Section: Introductionmentioning

confidence: 95%

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

Korzyński,

Miśkiewicz,

Serbenta

2021

Preprint

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We present a new method of measuring the mass density along the line of sight, based on precise measurements of the variations of the times of arrival (TOA's) of electromagnetic signals propagating between two distant regions of spacetime. The TOA variations are measured between a number of slightly displaced pairs of points from the two regions. These variations are due the nonrelativistic geometric effects (Rømer delays and finite distance effects) as well as the gravitational effects in the light propagation (gravitational ray bending and Shapiro delays). We show that from a sufficiently broad sample of TOA measurements we can determine two scalars quantifying the impact of the spacetime curvature on the light propagation, directly related to the first two moments of the mass density distribution along the line of sight. The values of the scalars are independent from the angular positions or the states of motion of the two clock ensembles we use for the measurement and free from any influence of masses off the line of sight. These properties can make the mass density measurements very robust. The downside of the method is the need for extremely precise signal timing.

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Section: Introductionmentioning

confidence: 95%

“…The two ensembles resemble two clock-based gravitational compasses as discussed in [16][17][18]. Recall that the clock-based gravitational compass is a curvature-measuring device using differences in ticking rates of precise clocks.…”

Section: Introductionmentioning

confidence: 99%