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We study gravitational lensing by compact objects in gravity theories that can be written in a Post-Post-Newtonian (PPN) framework: i.e., the metric is static and spherically symmetric, and can be written as a Taylor series in m/r, where m…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

We discuss the construction of relational observables in time-reparametrization invariant quantum mechanics and we argue that their physical interpretation can be understood in terms of conditional probabilities, which are defined from the…

General Relativity and Quantum Cosmology · Physics 2021-01-21 Leonardo Chataignier

We consider the feasibility of using the Galileo Navigation Satellite System to constrain possible extensions or modifications to General Relativity, by assessing the impact of the related additions to the Newtonian potential and comparing…

General Relativity and Quantum Cosmology · Physics 2011-08-25 O. Bertolami , J. Páramos

The measurement of the cosmological parameters from Type Ia supernovae hinges on our ability to compare nearby and distant supernovae accurately. Here we present an advance on a method for performing generalized K-corrections for Type Ia…

Astrophysics · Physics 2010-04-06 Peter Nugent , Alex Kim , Saul Perlmutter

We present a collection of new, open-source computational tools for numerically modeling recent large-scale observational data sets using modern cosmology theory. Specifically, these tools will allow both students and researchers to…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-22 Jacob Moldenhauer , Larry Engelhardt , Keenan Stone , Ezekiel Shuler

A relativistic definition of the physically adequate proper reference system of a test observer is suggested within the framework of the PPN formalism. According to the nomenclature accepted within the GAIA project this reference system is…

Astrophysics · Physics 2009-11-10 Sergei A. Klioner

Long-baseline interferometry at optical and near-infrared wavelengths is an emerging technology which is quickly becoming a useful tool to investigate stellar atmospheres and to compare observations with models. Stellar atmosphere models…

Astrophysics · Physics 2007-05-23 Markus Wittkowski

Quantum reference frame transformations have been proposed to provide a means by which to translate descriptions of quantum systems relative to each other. At present, there are several differing frameworks for describing quantum reference…

Quantum Physics · Physics 2025-09-29 Esteban Castro-Ruiz , Thomas D. Galley , Leon Loveridge

Recently there has been much effort in developing a quantum generalisation of reference frame transformations. Despite important progress, a complete understanding of their principles is still lacking. In particular, we argue that previous…

Quantum Physics · Physics 2023-07-21 Esteban Castro-Ruiz , Ognyan Oreshkov

This work introduces a novel three-fold classification of reference frames in General Relativity, distinguishing between Idealised Reference Frames (IRFs), Dynamical Reference Frames (DRFs), and Real Reference Frames (RRFs). By defining a…

History and Philosophy of Physics · Physics 2025-10-03 Nicola Bamonti

We present a derivation of 2PN/RM metric field equations from the Einstein field equation in General Relativity. We use the exponential parametrization and the $c^{-3}$ isotropic spatial coordinates such as in IAU2000 recommendations.

General Relativity and Quantum Cosmology · Physics 2010-02-19 Olivier Minazzoli , Bertrand Chauvineau

Numerical relativity is an essential tool for solving Einstein's equations of general relativity for dynamical systems characterized by high velocities and strong gravitational fields. The implementation of new algorithms that can solve…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stuart L. Shapiro

We consider cosmological models in scalar tensor theories of gravity that describe an accelerating universe, and we study a family of inverse power law potentials, for which exact solutions of the Einstein equations are known. We also…

Astrophysics · Physics 2009-11-13 M. Demianski , E. Piedipalumbo , C. Rubano , P. Scudellaro

Recent X-ray observations have had a major impact on topics ranging from protostars to cosmology. They have also drawn attention to important and general physical processes that currently limit our understanding of thermal and nonthermal…

Astrophysics · Physics 2009-11-07 Roger Blandford

We study accelerating relativistic reference frames in Minkowski space-time under the harmonic gauge. It is well-known that the harmonic gauge imposes constraints on the components of the metric tensor and also on the functional form of…

General Relativity and Quantum Cosmology · Physics 2012-03-08 Slava G. Turyshev , Olivier L. Minazzoli , Viktor T. Toth

A generalized covariant method of analysis applicable to frames for which time is not orthogonal to space, such as spacetime around a star possessing angular momentum or on a rotating disk, is presented. Important aspects of such an…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert D. Klauber

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time…

High Energy Physics - Theory · Physics 2007-05-23 S. N. Mayburov

In this review, we explore the historical development and future prospects of artificial intelligence (AI) and deep learning in astronomy. We trace the evolution of connectionism in astronomy through its three waves, from the early use of…

Instrumentation and Methods for Astrophysics · Physics 2023-06-01 Michael J. Smith , James E. Geach

Galaxy intrinsic alignments (IA) are a critical uncertainty for current and future weak lensing measurements. We describe a perturbative expansion of IA, analogous to the treatment of galaxy biasing. From an astrophysical perspective, this…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-13 Jonathan Blazek , Niall MacCrann , M. A. Troxel , Xiao Fang

A modern re-visitation of the consequences of the lack of an intrinsic notion of instantaneous 3-space in relativistic theories leads to a reformulation of their kinematical basis emphasizing the role of non-inertial frames centered on an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luca Lusanna