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We study the existence and radial stability of static, spherically symmetric thin shells separating two Schwarzschild--de Sitter spacetimes with parameters $(m_\pm,\Lambda_\pm)$. Using the Israel junction formalism and a linear barotropic…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Dimitrios Efstratiou , Evangelos Achilleas Paraskevas , Leandros Perivolaropoulos

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

Accretion flows having positive specific energy are known to produce outflows and winds which escape to a large distance. According to Two Component Advective Flow (TCAF) model, centrifugal pressure dominated region of the flow just outside…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Santanu Mondal , Sandip K Chakrabarti , Dipak Debnath

Black holes in anti-de Sitter spacetime provide an important testing ground for both gravitational and field-theoretic phenomena. In particular, the study of perturbations can be useful to further our understanding regarding certain…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Valentin Boyanov , Vitor Cardoso , Kyriakos Destounis , José Luis Jaramillo , Rodrigo Panosso Macedo

In this work, we treat black holes as bifurcation points and explore their thermodynamic phase structure using the framework of bifurcation theory which is a commonly used method from nonlinear dynamics. By constructing an appropriate…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Bidyut Hazarika , Prabwal Phukon

We present global solutions that describe advection-dominated accretion flows around black holes. The solutions are obtained by numerically solving a set of coupled ordinary differential equations corresponding to a steady axisymmetric…

Astrophysics · Physics 2009-10-28 Ramesh Narayan , Shoji Kato , Fumio Honma

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of…

Mathematical Physics · Physics 2015-06-16 Gregory Eskin

Photon sphere has attracted significant attention since the capture of black hole shadow images by Event Horizon Telescope. Recently, a number of studies have highlighted that the number of photon spheres and their distributions near black…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Chen-Kai Qiao

We study viscous transonic accretion flows in vertical equilibrium in Kerr geometry. We employ the pseudo-Kerr formalism which accurately describes transonic flows around Kerr black holes and is applicable for modelling observational data.…

High Energy Astrophysical Phenomena · Physics 2024-10-01 Abhrajit Bhattacharjee , Sandip K. Chakrabarti

We study the time evolution of a rotating, axisymmetric, viscous accretion flow around black holes using a grid based finite difference method. We use the Shakura-Sunyaev viscosity prescription. However, we compare with the results obtained…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Kinsuk Giri , Sandip K. Chakrabarti

In this paper we prove the occurence of chaos for charged particles moving around a Schwarzshild black hole, perturbed by uniform electric and magnetic fields. The appearance of chaos is studied resorting to the Poincare'-Melnikov method.

Chaotic Dynamics · Physics 2021-10-20 Manuele Santoprete , Giampaolo Cicogna

Under certain conditions sound waves in fluids experience an acoustic horizon with analogue properties to those of a black hole event horizon. In particular, a draining bathtub-like model can give rise to a rotating acoustic horizon and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Carolina L. Benone , Luis C. B. Crispino , Carlos Herdeiro , Eugen Radu

In this paper, we investigate the asymptotic nature of the quasinormal modes for "dirty" black holes -- generic static and spherically symmetric spacetimes for which a central black hole is surrounded by arbitrary "matter" fields. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A J M Medved , Damien Martin , Matt Visser

In this paper, we study the trajectories of massive and massless particles in four dimensional static and spherically symmetric black holes in de Rham-Gabadadze-Tolley (dRGT) massive gravity theory via phase-plane analysis and point out…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Pavan Kumar Yerra , Sudipta Mukherji , Chandrasekhar Bhamidipati

We study the motion of test particles in the gravitational field of a Schwarzschild black hole surrounded by a spherical dark matter cloud with non-zero tangential pressure and compute the luminosity of the accretion disk. The presence of…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Kuantay Boshkayev , Talgar Konysbayev , Yergali Kurmanov , Orlando Luongo , Daniele Malafarina

We investigate several aspects of exact black hole solutions in asymptotically Lifshitz spacetime, which were proposed in 0812.0530. Firstly, we calculate the tidal forces and find that in the near horizon region of such black hole…

High Energy Physics - Theory · Physics 2009-11-14 Da-Wei Pang

In this paper, we are concerned with the instability problem of a 3-D transonic oblique shock wave for the steady supersonic flow past an infinitely long sharp wedge. The flow is assumed to be isentropic and irrotational. It was indicated…

Analysis of PDEs · Mathematics 2014-07-22 Li Liang , Xu Gang , Yin Huicheng

We have studied the wave properties of the cold and isothermal plasma in the vicinity of the Schwarzschild black hole event horizon. The Fourier analyzed perturbed 3+1 GRMHD equations are taken on the basis of which the complex dispersion…

General Relativity and Quantum Cosmology · Physics 2009-11-13 M. Sharif , G. Mustafa

Recently neutral and charged black-hole solutions were found for static perfect fluid with the equation of state $p(r)=-\rho(r)/3$, for fluid only as well as for fluid in the presence of electric field. In those works, the stability of the…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Inyong Cho , Dong-Ho Park

We present the global structure of magnetized advective accretion flow around the rotating black holes in presence of dissipation. By considering accretion flow to be threaded by toroidal magnetic fields and by assuming synchrotron…

High Energy Astrophysical Phenomena · Physics 2018-08-08 Santabrata Das , Biplob Sarkar