Testing the null energy condition with precise distance measurements

Korzyński, Mikołaj; Serbenta, Julius

doi:10.1103/physrevd.105.084017

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Initial Region1

Bilocal Geodesic Operators From the Variations Of The Genera...1

Optical Distance Measures and Distance Slip In Schwarzschild...1

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2022

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“…In fact, it is possible to present a more general, non-perturbative statement, valid in any spacetime. In the companion paper [45] we prove the following result:…”

Section: Initial Regionmentioning

confidence: 87%

“…with the same coefficients of L as in (45), but evaluated at point E instead of O. We may now combine (48) with ( 45) and solve the resulting linear equations for δ μ E .…”

Section: Bilocal Geodesic Operators From the Variations Of The Genera...mentioning

confidence: 99%

“…the dependence of the position of the source's image on the celestial sphere on the observer's transverse displacement suitably averaged over the baseline orientation. We will also discuss the distance slip μ, introduced in [6] and studied in greater detail in [45] which is defined as…”

Section: Optical Distance Measures and Distance Slip In Schwarzschild...mentioning

confidence: 99%

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Bilocal geodesic operators in static spherically-symmetric spacetimes

Serbenta

Korzyński

2022

Class. Quantum Grav.

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We present a method to compute exact expressions for optical observables for static spherically symmetric spacetimes in the framework of the bilocal geodesic operator formalism. The expressions are obtained by solving the linear geodesic deviation equations for null geodesics, using the spacetime symmetries and the associated conserved quantities. We solve the equations in two different ways: by varying the geodesics with respect to their initial data and by directly integrating the equation for the geodesic deviation. The results are very general and can be applied to a variety of spacetime models and configurations of the emitter and the observer. We illustrate some of the aspects with an example of Schwarzschild spacetime, focusing on the behaviour of the angular diameter distance, the parallax distance, and the distance slip between the observer and the emitter outside the photon sphere.

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“…In fact, it is possible to present a more general, non-perturbative statement, valid in any spacetime. In the companion paper [45] we prove the following result:…”

Section: Initial Regionmentioning

confidence: 87%

“…with the same coefficients of L as in (45), but evaluated at point E instead of O. We may now combine (48) with ( 45) and solve the resulting linear equations for δ μ E .…”

Section: Bilocal Geodesic Operators From the Variations Of The Genera...mentioning

confidence: 99%