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We suggest a new formula, which allows the Schwarzschild's solution and the Einstein radius to be applied to the dynamic universe, when our universe is hypothetically regarded as a single dynamic black hole. In this study, a cosmological…

General Relativity and Quantum Cosmology · Physics 2017-06-22 DongBong Yang , Heon-Ju Lee

We have studied stationary clouds of massive scalar fields around a rotating BTZ-like black hole in the Einstein-bumblebee gravity, by imposing the Robin type boundary conditions at the AdS boundary. We establish, by scanning the parameter…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Fangli Quan , Fengjiao Li , Qiyuan Pan , Mengjie Wang , Jiliang Jing

We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-up rates of curvature and mass at the spacelike singularity…

Analysis of PDEs · Mathematics 2020-04-27 Xinliang An , Dejan Gajic

In this work, we prove that the classical Schwarzschild-de Sitter spacetime is an exact solution of a class of weakly non-local, UV finite conformal quantum gravity theories, without the necessity of including a cosmological constant term…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Diego A. Martínez-Valera

In the framework of the Lorentz symmetry breaking (LSB), we investigate the quasinormal modes (QNMs) and the greybody factors (GFs) of the Kerr-like black hole spacetime obtained from the bumblebee gravity model. In particular, we analyze…

High Energy Physics - Theory · Physics 2021-07-27 Sara Kanzi , İzzet Sakallı

The ghost-free bi-metric gravity theory is a viable theory of gravity that explores the interaction between a massless and a massive graviton and can be described in terms of two dynamical metrics. In this paper, we present an exact static,…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Mostafizur Rahman , Anjan A Sen , Sunil Singh Bohra

The bumblebee field coupled with gravity is considered. This gravitational theory exhibits spontaneous breaking of Lorentz symmetry. The G\"{o}del-type universe is introduced and then the causality and its violation are studied. Causal and…

General Relativity and Quantum Cosmology · Physics 2020-05-20 W. D. R. Jesus , A. F. Santos

The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field \(B_\mu\) has a one-component time-like vacuum expectation value \(b_\mu\) is studied. We show that in general curved space-time solutions are not…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Hao Li , Jie Zhu

In this paper, we use the Gauss Bonnet theorem to obtain the deflection angle by the photons coupled to Weyl tensor in a Schwarzschild black hole and Schwarzschild-like black hole in bumblebee gravity in the weak limit approximation. To do…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Ali Övgün , Kimet Jusufi , Izzet Sakalli

We present a modified gravity framework where the vacuum is modeled as a Higgs-type scalar field $\chi$ undergoing spontaneous symmetry breaking. By introducing a coupling $Q^\nu = \alpha T \nabla^\nu \chi$, we formalize a displacement…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Rodrigo Maier

We investigate quantum information and thermodynamic properties of a new bumblebee black hole arising from spontaneous Lorentz symmetry breaking by analyzing near-horizon physics through complementary quantum probes. We study the…

General Relativity and Quantum Cosmology · Physics 2025-12-22 A. A. Araújo Filho , Wentao Liu

We investigate the possibility of spontaneous scalarization of static, spherically symmetric, and asymptotically flat black holes (BHs) in the Horndeski theory. Spontaneous scalarization of BHs is a phenomenon that the scalar field…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Masato Minamitsuji , Taishi Ikeda

In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Hai-Yang Zhang , Ya-Peng Hu , Yu-Sen An

In this paper, we study the weak gravitational deflection angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection angle…

General Relativity and Quantum Cosmology · Physics 2020-01-23 Zonghai Li , Ali Övgün

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 simulate the behaviour of a Higgs-like field in the vicinity of a Schwarzschild black hole using a highly accurate numerical framework. We consider both the limit of the zero-temperature Higgs potential, and a toy model for the…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Dina Traykova , Jonathan Braden , Hiranya V. Peiris

We investigate how the newly obtained static black hole in bumblebee gravity affects the behavior of accreting matter and its observable signatures. The Lorentz-violating parameter that characterizes this geometry modifies photon…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Yuxuan Shi , A. A. Araújo Filho

The gravitational wave event GW170817 together with its electromagnetic counterparts constrains the speed of gravity to be extremely close to that of light. We first show, on the example of an exact Schwarzschild-de Sitter solution of a…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Eugeny Babichev , Christos Charmousis , Gilles Esposito-Farese , Antoine Lehébel

We show how to find exact black hole solutions in bumblebee gravity with cosmological constant including BTZ black holes.

General Relativity and Quantum Cosmology · Physics 2023-08-11 P. Valtancoli

According to Birkhoff's theorem the only spherically symmetric solution of the vacuum Einstein field equations is the Schwarzschild solution. Inspite of imposing asymptotically flatness and staticness as initial conditions we obtain that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amir H. Abbassi