Testing Weak Equivalence Principle with Strongly Lensed Cosmic Transients

Abstract

Current constraints on Einstein's weak equivalence principle (WEP) utilize the observed time delay between correlated particles of astronomical sources. However, the intrinsic time delay due to particle emission time is impossible to measure and is simply assumed to be zero in previous studies. Here we propose a robust method to test WEP for relativistic messengers using strongly lensed cosmic transients, which can naturally overcome the intrinsic time delay problem. This can be achieved in two ways: by comparing the time delays between lensed images seen in different energy bands or in gravitational waves (GWs) and their electromagnetic (EM) counterparts. The power of our method mainly depends on the timing accuracy of cosmic transient and the strong lensing time delay. If the time delay of cosmic transient can be measured with accuracy about 0.1 s (e.g. gamma-ray bursts), we show that the upper limit on the differences of the parameterized post-Newtonian parameter $\gamma$ value is $\Delta \gamma <10^{-7}$ with a one-month strong lensing time delay event. This accuracy of WEP can be improved by a factor of $10^7$, if the lens is galaxy cluster and the strongly lensed cosmic transients have much shorter duration, such as fast radio bursts.

5 pages, 1 figure, accepted for publication in Eur. Phys. J. C

References in corpus (13)

• The Confrontation between General Relativity and Experiment
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The direct localization of a fast radio burst and its host
• The Host Galaxy and Redshift of the Repeating Fast Radio Burst FRB 121102
• Multiple Images of a Highly Magnified Supernova Formed by an Early-Type Cluster Galaxy Lens
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Speed of Gravitational Waves from Strongly Lensed Gravitational Waves and Electromagnetic Signals
• Gamma-ray Burst Cosmology
• Multi-Messenger Time Delays from Lensed Gravitational Waves
• Multimessenger tests of the weak equivalence principle from GW170817 and its electromagnetic counterparts
• Testing Einstein's weak equivalence principle with a 0.4-nanosecond giant pulse of the Crab pulsar
• Search for strong gravitational lensing effect in the current GRB data of BATSE
• Testing the Einstein's equivalence principle with polarized gamma-ray bursts

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• Strong lensing as a giant telescope to localize the host galaxy of gravitational wave event
• Lensed or not lensed: Determining lensing magnifications for binary neutron star mergers from a single detection
• A New Method to Measure Hubble Parameter $H(z)$ using Fast Radio Bursts
• A forecast of using fast radio burst observations to constrain holographic dark energy
• Complementary constraints on dark energy equation of state from strongly lensed gravitational wave
• Testing the Equivalence Principle with Strong Lensing Time Delay Variations
• Dark photon dark matter and fast radio bursts
• The BINGO Project IX: Search for Fast Radio Bursts -- A Forecast for the BINGO Interferometry System