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A $d$-dimensional simplex in Euclidean space is called orthocentric if all of its altitudes intersect at a single point, referred to as the orthocenter. We explicitly compute the internal and external angles at all faces of an orthocentric…

Metric Geometry · Mathematics 2025-05-09 Zakhar Kabluchko , Philipp Schange

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

Similarly to light, gravitational waves can be gravitationally lensed as they propagate near massive astrophysical objects such as galaxies, stars, or black holes. In recent years, forecasts have suggested a reasonable chance of strong…

General Relativity and Quantum Cosmology · Physics 2021-12-09 Justin Janquart , Eungwang Seo , Otto A. Hannuksela , Tjonnie G. F. Li , Chris Van Den Broeck

The availability of a robust and efficient routine for calculating light curves of a finite source magnified due to bending its light by the gravitational field of an intervening binary lens is essential for determining the characteristics…

Astrophysics · Physics 2008-11-26 M. Dominik

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

We demonstrate that gravitational lensing can be used to discover and study planets in the habitable zones of nearby dwarf stars. If appropriate software is developed, a new generation of monitoring programs will automatically conduct a…

Astrophysics · Physics 2008-01-11 Rosanne Di Stefano , Christopher Night

After discussing some subtle issues concerning the computation of deflection angle, a general but simple expression of bending angle of light rays in weak deflection limit has been presented for a general static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-07-21 Arunava Bhadra

We discuss whether it is possible to reconstruct a metric by its unparameterized geodesics, and how to do it effectively. We explain why this problem is interesting for general relativity. We show how to understand whether all curves from a…

Differential Geometry · Mathematics 2013-01-14 Vladimir S. Matveev

Visible light communication (VLC) systems are promising candidates for future indoor access and peer-to-peer networks. The performance of these systems, however, is vulnerable to the line of sight (LOS) link blockage due to objects inside…

Information Theory · Computer Science 2020-09-10 Hamid Hosseinianfar , Maite Brandt-Pearce

The present work represents a step to deal with stellar structure using a pure geometric approach. A geometric field theory is used to construct a model for a spherically symmetric configuration. The model obtained can be considered as a…

General Relativity and Quantum Cosmology · Physics 2011-09-27 M. I. Wanas , Samah A. Ammar

This paper advances a general proposal for testing non-standard cosmological models by means of observational relations of cosmological point sources in some specific waveband, and their use in the context of the data provided by the galaxy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcelo B. Ribeiro

We determine the orientations of the light distribution of individual elliptical galaxies by combining the profiles of photometric data from the literature with triaxial models. The orientation is given by a Bayesian probability…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 D. K. Chakraborty , A. K. Diwakar

We show how an observer could measure the non-local holonomy variables that parametrise the flat Lorentzian 3d manifolds arising as spacetimes in (2+1)-gravity. We consider an observer who emits lightrays that return to him at a later time…

Mathematical Physics · Physics 2023-06-13 C. Meusburger

Recent observations of Ultra High Energy Cosmic rays suggest a small violation of Lorentz symmetry. Such a violation is expected in schemes with discrete/quantized spacetime. We examine this situation and suggest tests which could be…

General Physics · Physics 2007-05-23 B G Sidharth

In this letter we further analyze the concept of the use of a pair of identical geodetic satellites placed in identical orbits except for the inclinations which should be supplementary for measuring the Lense-Thirring effect in the…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

Timelike geodesics on a hyperplane orthogonal to the symmetry axis of the G\"odel spacetime appear to be elliptic-like if standard coordinates naturally adapted to the cylindrical symmetry are used. The orbit can then be suitably described…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Donato Bini , Andrea Geralico , Robert T. Jantzen , Wolfango Plastino

Deep observations of the Universe, usually as a part of sky surveys, are one of the symbols of the modern astronomy because they can allow big collaborations, exploiting multiple facilities and shared knowledge. The new generation of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-18 Elisa Portaluri , Valentina Viotto , Roberto Ragazzoni , Carmelo Arcidiacono , Maria Bergomi , Marco Dima , Davide Greggio , Jacopo Farinato , Demetrio Magrin

Foundations of standard theory of microlensing are described, namely we consider microlensing stars in Galactic bulge, the Magellanic Clouds or other nearby galaxies. We suppose that gravitational microlenses lie between an Earth observer…

Astrophysics · Physics 2007-05-23 A. F. Zakharov

The detection of gravitational waves based on the geodesic deviation equation is discussed. In particular, it is shown that the only non-vanishing components of the wave field in the conventional traceless-transverse gauge in linearized…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Leclerc

We introduce and study a new scheme to construct relativistic observables from post-processing light cone data. This construction is based on a novel approach, LC-Metric, which takes general light cone or snapshot output generated by…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-14 Chi Tian , Matthew F. Carney , James B. Mertens , Glenn Starkman