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Related papers: Astrophysics of Bertrand Space-times

200 papers

Strong field gravitational lensing in the context of both higher spacetime dimensions and in presence of Kalb-Ramond field have been studied. After developing proper analytical tools to analyze the problem we consider gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2017-08-01 Sumanta Chakraborty , Soumitra SenGupta

The Lense--Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the…

High Energy Physics - Theory · Physics 2022-04-27 Finnian Gray , Robie A. Hennigar , David Kubiznak , Robert B. Mann , Manu Srivastava

In the present work, we analyze the gravitational deflection for a light beam in the weak and strong field regimes for the gravitational analogue geometry of an acoustic black hole (ABH) and acoustic black-bounce (ABB). Motivationally, the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 C. F. S. Pereira , A. R. Soares , M. V. de S. Silva , R. L. L. Vitória , H. Belich

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

We model the massive dark object at the center of the Galaxy as a Schwarzschild black hole as well as Janis-Newman-Winicour naked singularities, characterized by the mass and scalar charge parameters, and study gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. S. Virbhadra , C. R. Keeton

We propose an action-based $ f(R) $ modification of Einstein's gravity which admits of a modified Schwarzschild-deSitter metric. In the weak field limit this amounts to adding a small logarithmic correction to the newtonian potential. A…

Astrophysics · Physics 2009-11-11 Y. Sobouti

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

In this paper we apply the strong deflection limit approach to investigate the gravitational lensing phenomena beyond general relativity. This is accomplished by considering the lensing effects related to black hole solutions that emerge…

General Relativity and Quantum Cosmology · Physics 2016-10-13 R. T. Cavalcanti , A. Goncalves da Silva , Roldao da Rocha

In this letter we discuss the possibility of treating the spacetime by itself as a kind of deformable body for which we can define an fundamental lattice, just like atoms in crystal lattices. We show three signs pointing in that direction.…

General Relativity and Quantum Cosmology · Physics 2007-05-30 M. O. Tahim , R. R. Landim , C. A. S. Almeida

In this work, we study the gravitational lensing by a Lorentz-violating (LV) black hole inspired by the recent contribution [1]. Explicitly, we concentrate on a specific application: we perform the computation of gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2025-11-21 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

A solution to Einstein's field equations via the Friedman equations is shown to produce a cosmological model that is in exact agreement with the measurements made by the dark energy astronomers. All the essential physical parameters are…

General Physics · Physics 2012-06-26 James G. Gilson

We study gravitational lensing of the cosmic neutrino background. This signal is undetectable for the foreseeable future, but there is a rich trove of information available. At least some of the neutrinos from the early universe will be…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-12 Joshua Yao-Yu Lin , Gilbert Holder

We extend the study of gravitational lensing to photons traversing the lens mass, modeled as a uniform-density fluid described by the interior Kottler (Schwarzschild--de Sitter) solution smoothly matched to the exterior Kottler region. An…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Mourad Guenouche

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

As an alternative to dark matter models we use generalized Jordan-Brans-Dicke scalar-vector-tensor (JBD-SVT) gravity model to study the behavior of the rotational velocities of test particles moving around galaxies. To do so we consider an…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Hossein Ghaffarnejad , Razieh Dehghani

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

General Relativity and Quantum Cosmology · Physics 2016-08-23 M. Basovník , O. Semerák

We discuss weak lensing characteristics in the gravitational field of a compact object in the low-energy approximation of fourth order f(R) gravity theory. The particular solution is characterized by a gravitational strength parameter…

General Relativity and Quantum Cosmology · Physics 2013-12-05 Zsolt Horváth , László Á. Gergely , David Hobill , Salvatore Capozziello , Mariafelicia De Laurentis

In the neighborhood of Sgr A*, several stars (S2, S12, S14, S1, S8, S13) enjoy an accurate determination of their orbital parameters. General Relativity predicts that the central black hole acts as a gravitational lens on these stars,…

Astrophysics · Physics 2009-11-10 V. Bozza , L. Mancini

In the present investigation flat rotational curves of the galaxies are considered under the framework of brane-world models where the 4d effective Einstein equation has extra terms which arise from the embedding of the 3-brane in the $5d$…

Astrophysics · Physics 2008-11-07 F. Rahaman , M. Kalam , A. DeBenedictis , A. A. Usmani , Saibal Ray

The distortion of the spacetime structure in the surroundings of black holes affects the trajectories of light rays. As a consequence, black holes can act as gravitational lenses. Observations of type Ia supernovas, show that our Universe…

General Relativity and Quantum Cosmology · Physics 2016-01-14 Ernesto F. Eiroa , Carlos M. Sendra