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We derive the delay in travel time of photons due to the spin of a body both inside a rotating shell and outside a rotating body. We then show that this time delay by the spin of an astrophysical object might be detected in different images…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ignazio Ciufolini , Franco Ricci

While time-delay lenses can be an independent probe of $H_0$ the estimates are degenerate with the convergence of the lens near the Einstein radius. Velocity dispersions, $\sigma$, can be used to break the degeneracy, with uncertainties…

Astrophysics of Galaxies · Physics 2026-02-05 R. Forés-Toribio , C. S. Kochanek , J. A. Muñoz

We report first results from an ongoing monitoring campaign to measure time delays between the six images of the quasar SDSS\,J2222$+$2745, gravitationally lensed by a galaxy cluster. The time delay between A and B, the two most highly…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 H. Dahle , M. D. Gladders , K. Sharon , M. B. Bayliss , J. R. Rigby

Recently, there have been two landmark discoveries of gravitationally lensed supernovae: the first multiply-imaged SN, "Refsdal", and the first Type Ia SN resolved into multiple images, SN iPTF16geu. Fitting the multiple light curves of…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-27 Justin R. Pierel , Steven A. Rodney

A rigorous quantum relativistic approach has been used to calculate the relationship between the decay laws of an unstable particle seen from two inertial frames moving with respect to each other. In agreement with experiment, it is found…

General Physics · Physics 2007-05-23 Eugene V. Stefanovich

The gravitational field of a galaxy can act as a lens and deflect the light emitted by a more distant object such as a quasar. Strong gravitational lensing causes multiple images of the same quasar to appear in the sky. Since the light in…

Instrumentation and Methods for Astrophysics · Physics 2017-10-06 Hyungsuk Tak , Kaisey Mandel , David A. van Dyk , Vinay L. Kashyap , Xiao-Li Meng , Aneta Siemiginowska

Multiply imaged time-variable sources can be used to measure absolute distances as a function of redshifts and thus determine cosmological parameters, chiefly the Hubble Constant H$_0$. In the two decades up to 2020, through a number of…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-07 T. Treu , S. H. Suyu , P. J. Marshall

Here the gravitational lensing in strong field limit of a Schwarzschild black hole with a solid deficit angle owing to global monopole within the context of the $f(R)$ gravity theory is investigated. We obtain the expressions of deflection…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Jingyun Man , Hongbo Cheng

Strong gravitational lensing of distant supernovae (SNe), particularly Type Ia's, has some exploitable properties not available when other sorts of cosmologically distant sources are lensed. One such property is that the ``standard candle''…

Astrophysics · Physics 2009-11-07 Masamune Oguri , Yasushi Suto , Edwin L. Turner

Time-delay cosmography can be used to infer the Hubble parameter $H_0$ by measuring the relative time delays between multiple images of gravitationally-lensed quasars. A few of such systems have already been used to measure $H_0$: their…

Instrumentation and Methods for Astrophysics · Physics 2022-08-03 L. Biggio , A. Domi , S. Tosi , G. Vernardos , D. Ricci , L. Paganin , G. Bracco

We have studied the angular time delay in slow-electron elastic scattering by spherical targets as well as the average time delay of electrons in this process. It is demonstrated how the angular time delay is connected to the…

Atomic Physics · Physics 2021-04-13 M. Ya. Amusia , A. S. Baltenkov , I. Woiciechowski

The current standard time delay formula (CSTD) in gravitational lensing and its claimed relation to the lens equation through Fermat's principle (least time principle) have been puzzling to the author for some time. We find that the…

General Physics · Physics 2011-03-17 Sun Hong Rhie

Evaluation of the additive constants in the space-time Lorentz transformation equations required, according to Einstein, to correctly describe synchronised clocks at different spatial locations, reveals the spurious and unphysical nature of…

General Physics · Physics 2012-10-09 J. H. Field

Estimation of time delays from a noisy and gapped data is one of the simplest data analysis problems in astronomy by its formulation. But as history of real experiments show, the work with observed data sets can be quite complex and…

Instrumentation and Methods for Astrophysics · Physics 2011-05-31 A. Hirv , N. Olspert , J. Pelt

We have measured the time delay between the two images of the gravitationally lensed quasar HE1104-1805 by combining observations made with the Wise Observatory 1m telescope and published observations of this system by Schechter et al.,…

Astrophysics · Physics 2009-11-07 Eran O. Ofek , Dan Maoz

Present day estimates of the Hubble constant based on Cepheids and on the cosmic microwave background radiation are uncertain by roughly 10% (on the conservative assumption that the universe may not be PERFECTLY flat). Gravitational lens…

Astrophysics · Physics 2009-11-10 Paul L. Schechter

Time-delay cosmography uses strong gravitational lensing of a time-variable source to infer the Hubble Constant. The measurement is independent from both traditional distance ladder and CMB measurements. An accurate measurement with this…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Patrick Wells , Christopher D. Fassnacht , C. E. Rusu

While the Hubble constant can be derived from observable time delays between images of lensed quasars, the result is often highly sensitive to assumptions and systematic uncertainties in the lensing model. Unlike most previous authors we…

Astrophysics · Physics 2009-10-31 HongSheng Zhao , Danny Pronk

The strong convergence of Euler approximations of stochastic delay differential equations is proved under general conditions. The assumptions on drift and diffusion coefficients have been relaxed to include polynomial growth and only…

Probability · Mathematics 2013-03-07 Chaman Kumar , Sotirios Sabanis

We present cosmological constraints from 8 strongly lensed quasars (hereafter, the TDCOSMO-2025 sample). Building on previous work, our analysis incorporated new deflector stellar velocity dispersions measured from spectra obtained with the…