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The wormhole solution in dRGT massive gravity is examined in this paper in the background of non-commutative geometry. In order to derive the wormhole model, along with the zero tidal force, we assume that the matter distribution is given…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Piyali Bhar , Allah Ditta , Abdelghani Errehymy

We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein's equations with and without spherical symmetry. A general formula for the…

General Relativity and Quantum Cosmology · Physics 2022-05-12 D. Batic , S. Chanda , P. Guha

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS…

General Relativity and Quantum Cosmology · Physics 2025-08-15 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

In this paper, we investigate the null geodesics of the static charged black hole in heterotic string theory. A detailed analysis of the geodesics are done in the Einstein frame as well as in the string frame. In the Einstein frame, the…

High Energy Physics - Theory · Physics 2013-05-30 Sharmanthie Fernando

In Ref. [1], the spacetime geometry generated by compact objects in $(2+1)$-dimensional Bopp-Podolsky electrodynamics is derived. Using a perturbative approach, the authors derived a charged BTZ-like black hole solution and computed…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Faizuddin Ahmed , Ahmad Al-Badawi , Abdelmalek Bouzenada , Erdem Sucu , İzzet Sakallı

Classical general relativity predicts a singularity at the center of a black hole, where known laws of physics break down. This suggests the existence of deeper, yet unknown principles of Nature. Among various theoretical possibilities, one…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Nihar Ranjan Ghosh , Malay K. Nandy

We obtain new regular black hole solutions for an action in 2+1 dimensions with bilocal Ricci scalar and negative cosmological constant. Besides their connection to the cosmological constant, these solutions depend on a fundamental length…

General Relativity and Quantum Cosmology · Physics 2023-11-27 H. R. Christiansen , Milko Estrada , M. S. Cunha , J. Furtado , C. R. Muniz

One of the most important achievements in general relativity has been discovery of the $(2+1)$-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [Phys. Rev. Lett. {\bf69}, 1849 (1992)]. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Ahmad Sheykhi

Different classes of exact solutions for the BHT massive gravity theory are constructed and analyzed. We focus in the special case of the purely quadratic Lagrangian, whose field equations are irreducibly of fourth order and are known to…

High Energy Physics - Theory · Physics 2015-12-31 Cédric Troessaert , David Tempo , Ricardo Troncoso

In order to classify and understand the spacetime structure, investigation of the geodesic motion of massive and massless particles is a key tool. So the geodesic equation is a central equation of gravitating systems and the subject of…

General Relativity and Quantum Cosmology · Physics 2020-07-15 S. H. Hendi , A. M. Tavakkoli , S. Panahiyan , B. Eslam Panah , E. Hackmann

We systematically examine the properties of null geodesics around an electrically charged, asymptotically flat black hole in Eddington-inspired Born-Infeld gravity, varying the electric charge of black hole and the coupling constant in the…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Hajime Sotani , Umpei Miyamoto

In a recent paper (Phys. Dark Univ. {\bf 31}, 100744 (2021)) it has been obtained new static black hole solutions with primary hairs by the Gravitational Decoupling. In this work we either study the geodesic motion of massive and massless…

General Relativity and Quantum Cosmology · Physics 2021-07-14 A. Ramos , C. Arias , R. Ávalos , E. Contreras

We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Ritesh Pandey , Shubham Kala , Amare Abebe , Hemwati Nandan , G. G. L. Nashed

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

We study the geodesic motions of a test particle around 2+1 dimensional charged black holes. We obtain a class of exact geodesic motions for the massless test particle when the ratio of its energy and angular momentum is given by square…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Dong Hyun Park , Seung-ho Yang

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

We apply a recently developed 2+1+1 decomposition of spacetime, based on a nonorthogonal double foliation for the study of spherically symmetric, static black hole solutions of Horndeski scalar-tensor theory. Our discussion proceeds in an…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Cecília Nagy , Zoltán Keresztes , László Á. Gergely

In massive gravity the so-far-found black hole solutions on Minkowski space happen to convert horizons into a certain type of singularities. Here we explore whether these singularities can be avoided if space-time is not asymptotically…

High Energy Physics - Theory · Physics 2013-05-30 L. Berezhiani , G. Chkareuli , C. de Rham , G. Gabadadze , A. J. Tolley

It has recently been conjectured [A. Ianniccari {\it et al.}, Phys. Rev. Lett. {\bf 133}, 081401 (2024)] that there exists a correspondence between the critical threshold of black-hole formation and the stability properties of null circular…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Shahar Hod

The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Maximo Banados , Marc Henneaux , Claudio Teitelboim , Jorge Zanelli