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Focus of this study is to explore some aspects of mathematical foundations for using complex manifolds as a model for space-time. More specifically, certain equations of motions have been derived as a Projective geodesic on a real manifold…

General Mathematics · Mathematics 2020-08-04 Swagatam Sen

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then…

High Energy Physics - Theory · Physics 2020-01-08 Hyat Huang , Zhong-Ying Fan , H. Lü

We study the global structure of some exact scalar hairy dynamical black holes which were constructed in Einstein gravity either minimally or non-minimally coupled to a scalar field. We find that both the apparent horizon and the local…

High Energy Physics - Theory · Physics 2016-06-09 Zhong-Ying Fan , Bin Chen , Hong Lu

This paper examines the issue of the existence and nature of time-like geodesics in asymptotically flat spacetimes and proposes a novel generalized topological criterion for the existence of time-like geodesics. Its validity is proved using…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Krish Jhurani , Tyler McMaken

We consider an Abelian gauge field coupled to a particular truncation of Horndeski theory. The Galileon field has translation symmetry and couples non minimally both to the metric and the gauge field. When the gauge-scalar coupling is zero…

General Relativity and Quantum Cosmology · Physics 2015-07-20 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

We generalize the geodesic rule to the case of formation of higher codimensional global defects. Relying on energetic arguments, we argue that, for such defects, the geometric structures of interest are the totally geodesic submanifolds. On…

High Energy Physics - Theory · Physics 2008-11-26 Anthony J. Creaco , Nikos Kalogeropoulos

We study the time dependence of the generalized complexity of Lovelock black holes using the ``complexity = anything" conjecture, which expands upon the notion of ``complexity = volume" and generates a large class of observables. By…

High Energy Physics - Theory · Physics 2025-02-05 Monireh Emami , Shahrokh Parvizi

Circular and radial geodesics are studied in the spacetime described by the $\gamma$ metric. Their behaviour is compared with the spherically symmetric situation, bringing out the sensitivity of the trajectories to deviations from spherical…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Herrera , Filipe M. Paiva , N. O. Santos

Equations of geodesic deviation for the 3-dimensional and 4-dimensional Riemann spaces are discussed. Availability of wide classes of exact solutions of such equations, due to recent results for the matrix Schr\"odinger equation, is…

solv-int · Physics 2008-02-03 V. S. Dryuma , B. G. Konopelchenko

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working…

High Energy Physics - Theory · Physics 2017-04-05 Cecilia Bejarano , Gonzalo J. Olmo , Diego Rubiera-Garcia

One of the main issues in gravitation is the presence of singularities in the most common space-time solutions of General Relativity, as the case of black holes. A way of constructing regular solutions that remove spacelike singularities…

General Relativity and Quantum Cosmology · Physics 2024-07-30 G. Alencar , Kirill A. Bronnikov , Manuel E. Rodrigues , Diego Sáez-Chillón Gómez , Marcos V. de S. Silva

In this paper, we consider the timelike and null geodesics around the static [GMGHS (Gibbons, Maeda, Garfinkle, Horowitz and Strominger), magnetically charged GMGHS, electrically charged GMGHS] and the rotating (Kerr-Sen dilaton-axion)…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Ehsan Sahami

Time evolution of a black hole lattice universe is simulated. The vacuum Einstein equations in a cubic box with a black hole at the origin are numerically solved with periodic boundary conditions on all pairs of opposite faces. Defining…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Chul-Moon Yoo , Hirotada Okawa , Ken-ichi Nakao

In this paper we have discussed geodesics and the motion of test particle in the gravitational field of noncommutative charged black hole spacetime. The motion of massive and massless particle have been discussed seperately. A comparative…

General Relativity and Quantum Cosmology · Physics 2015-07-14 Piyali Bhar , Farook Rahaman , Ritabrata Biswas , U. F. Mondal

The knowledge of the properties of the different exact solutions modeling binary systems, is a necessary step towards the classification of physically suitable solutions and its corresponding limits of applicability. In the present paper,…

General Relativity and Quantum Cosmology · Physics 2016-09-07 F. L. Dubeibe , José D. Sanabria-Gómez

Both cosmological expansion and black holes are ubiquitous features of our observable Universe, yet exact solutions connecting the two have remained elusive. To this end, we study self-gravitating classical fields within dynamical…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Elcio Abdalla , Niayesh Afshordi , Michele Fontanini , Daniel C. Guariento , Eleftherios Papantonopoulos

Motivated by the recent interest on models with varying constants and whether black hole physics can constrain such theories, two-dimensional charged stringy black holes are considered. We exploit the role of two-dimensional stringy black…

High Energy Physics - Theory · Physics 2009-11-10 Elias C. Vagenas

The aim of the paper is the consideration of particle collisions in the vicinity of the horizon of rotating black holes. Existence of geodesics for massive and massless particles arising from the region inside of the gravitational radius in…

General Relativity and Quantum Cosmology · Physics 2015-11-09 A. A. Grib , Yu. V. Pavlov