Gravitational Lensing Time Delays with Massive Photons

Glicenstein, J. F.

doi:10.3847/1538-4357/aa9439

Cited by 5 publications

(9 citation statements)

References 35 publications

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“…A popular lens model is the Singular Isothermal Lens (SIL) lens model, characterized by U (r) = 2σ 2 v ln r. σ v is the velocity dispersion of stars in the lens galaxy. σ 2 v is proportional to Newton's constant G. Using equation 7 and following the steps outlined in [17], the travel time from source to observer in a SIL model is…”

Section: Single Particle Hamiltonian With LIV In the Field Of A Massi...mentioning

confidence: 99%

An experimental test of gravity at high energy

Glicenstein

2019

J. Cosmol. Astropart. Phys.

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Gravitational lensing of very high energy photons has recently been observed in the JVAS B0218+357 strong lensing system. This observation opens the possibility of performing a test of gravity at high energy by comparing the difference in propagation time of high energy photons over different travel paths. The time delay is computed in the framework of a LIV (Lorentz Invariance Violation) extension of the equations of motion of photons in the field of a massive object. However, the method obtained can be transposed to other models of gravity at high energy. The potential for constraining high energy gravity with future observations of JVAS B0218+357 is discussed. The bounds on the LIV energy scale will not be competitive with other astrophysical bounds such as those coming from AGN and GRB flares. However, these bounds are free of any assumption on the emission process.

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Section: Single Particle Hamiltonian With LIV In the Field Of A Massi...mentioning

confidence: 99%

An experimental test of gravity at high energy

Glicenstein

2019

J. Cosmol. Astropart. Phys.

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“…The detection of the lensing time delay in future very high energy observations would help pinpoint the spatial origin of the high-energy emission (Barnacka et al 2015). It would also permit more exotic applications such as constraining photon mass (Glicenstein 2017) or testing Lorentz invariance violation (Biesiada & Piórkowska 2009).…”

Section: O N C L U S I O Nmentioning

confidence: 99%

H.E.S.S. observations of the flaring gravitationally lensed galaxy PKS 1830–211

Abdalla

Aharonian

Benkhali

et al. 2019

Monthly Notices of the Royal Astronomical Society

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PKS 1830-211 is a known macrolensed quasar located at a redshift of z = 2.5. Its highenergy gamma-ray emission has been detected with the Fermi-Large Area Telescope (LAT) instrument and evidence for lensing was obtained by several authors from its high-energy data. Observations of PKS 1830-211 were taken with the High Energy Stereoscopic System (H.E.S.S.) array of Imaging Atmospheric Cherenkov Telescopes in 2014 August, following a flare alert by the Fermi-LAT Collaboration. The H.E.S.S observations were aimed at detecting a gamma-ray flare delayed by 20-27 d from the alert flare, as expected from observations at other wavelengths. More than 12 h of good-quality data were taken with an analysis threshold of ∼67 GeV. The significance of a potential signal is computed as a function of the date and the average significance over the whole period. Data are compared to simultaneous observations by Fermi-LAT. No photon excess or significant signal is detected. An upper limit on PKS 1830-211 flux above 67 GeV is computed and compared to the extrapolation of the Fermi-LAT flare spectrum.

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“…For massive particles, the time delay of massive photon was investigated in Ref. [42] to constrain photon mass. Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [42,43] which works only in the relativistic limit of the signal and weak field limit of the lens, we computed the exact total travel time that works for arbitrary velocity, i.e., velocities not very close to c. Secondly, even in the relativistic limit, the total time and time delay in these works are only to the order O(c − v) 1 while our approximation formulas can works to higher orders. Thirdly, we have computed two time delays, ∆t v due to velocity difference and ∆t p due to path difference, instead of only ∆t p .…”

Section: Introductionmentioning

confidence: 99%

Time delay of timelike particles in gravitational lensing of the Schwarzschild spacetime

Jia

Liu

2019

Phys. Rev. D

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Time delay in Schwarzschild spacetime for null and timelike signals with arbitrary velocity v is studied. The total travel time t if is evaluated both exactly and approximately in the weak field limit, with the result given as functions of signal velocity, source-lens and lens-observer distances, angular position of the source and lens mass. Two time delays, ∆t v between signals with different velocities but coming from same side of the lens and ∆t p between signals from different sides of the lens, as well as the difference ∆t pv between two ∆t p 's are calculated. These time delays are applied to the gravitational-lensed supernova neutrinos and gravitational waves (GW). It is shown that the ∆t v between different mass eigenstates of supernova neutrinos can be related to the mass square difference of these eigenstates and therefore could potentially be used to discriminate neutrino mass orderings, while the difference ∆t pv between neutrino and optical signals can be correlated with the absolute mass of neutrinos. The formula for time delay in a general lens mass profile is derived and the result is applied to the singular isothermal sphere case. For GWs, it is found that the difference ∆t pv between GW and GRB can only reach 1.45 × 10 −5 second for very large source distance (2 × 10 4 [Mpc]) and source angle (10 [as]) if v GM = (1 − 3 × 10 −15 )c. This time difference is at least three order smaller than uncertainties in time measurement of the recently observed GW/GRB signals and thus calls for improvement if ∆t pv is to be used to further constrain the GW velocity.

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Gravitational Lensing Time Delays with Massive Photons

Cited by 5 publications

References 35 publications

An experimental test of gravity at high energy

An experimental test of gravity at high energy

H.E.S.S. observations of the flaring gravitationally lensed galaxy PKS 1830–211

Time delay of timelike particles in gravitational lensing of the Schwarzschild spacetime

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