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We continue a study by Adler and Ramazano\uglu (AR) of "black" holes as modified by a scale invariant dark energy action. For the spherically symmetric Schwarzschild-like case, (AR) found that there is no event horizon; hence spacetime is…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Stephen L. Adler

We present new static spherically-symmetric exact solutions of Einstein equations with the quintessential matter surrounding a black hole charged or not as well as for the case without the black hole. A condition of additivity and linearity…

General Relativity and Quantum Cosmology · Physics 2010-11-19 V. V. Kiselev

We introduce new methods to numerically construct for the first time stationary axisymmetric black hole solutions in Einstein-aether theory and study their properties. The key technical challenge is to impose regularity at the spin-2, 1,…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Alexander Adam , Pau Figueras , Ted Jacobson , Toby Wiseman

In the vicinity of black holes, the influence of strong gravity, plasma physics, and emission processes govern the behavior of the system. Since observations such as those carried out by the EHT are not yet able to unambiguously constrain…

High Energy Astrophysical Phenomena · Physics 2023-03-22 Jan Röder , Alejandro Cruz-Osorio , Christian M. Fromm , Yosuke Mizuno , Ziri Younsi , Luciano Rezzolla

A number of recent papers have claimed to construct solutions of Einstein's equations describing black holes surrounded by dark-matter halos with empirically motivated density profiles such as the Navarro-Frenk-White, Burkert, Einasto,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 S. V. Bolokhov

We analyse a rotating regular black hole with asymptotically Minkowski core. This Kerr-like geometry possesses the full "Killing tower" of nontrivial Killing tensor, Killing-Yano tensor, and principal tensor. The Hamilton-Jacobi equation,…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Alex Simpson , Matt Visser

We obtain a perturbative solution for rotating charged black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. We start from a small undeformed Kerr-AdS solution and use the electric charge…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Mozhgan Mir , Robert B. Mann

We investigate the shadow of an exact black hole solution of Einstein's equations recently proposed by Cardoso et al., to describe a supermassive black hole immersed in a dark matter halo. We analyze and discuss the light rings and the…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Sérgio V. M. C. B. Xavier , Haroldo C. D. Lima Junior , Luís C. B. Crispino

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute spacetime), we find, for a specific gravitational Lagrangian and by using {\it prolongation} techniques, a stationary axially…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Baekler , Friedrich W. Hehl

In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here,…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Roman Berens , Trevor Gravely , Alexandru Lupsasca

We present a new solution describing a pair of rotating, charged, and accelerating black holes in in the low energy limit of heterotic string theory. To obtain the solution, we apply the Hassan-Sen transformation to the neutral accelerating…

High Energy Physics - Theory · Physics 2018-06-19 Haryanto M. Siahaan

Motivated by novel results in the theory of wave dynamics in black-hole spacetimes, we analyze the dynamics of a massive scalar field surrounding a rapidly rotating Kerr black hole. In particular, we report on the existence of stationary…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Shahar Hod

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We solve the spherically symmetric time dependent relativistic Euler equations on a Schwarzschild background space-time for a perfect fluid, where the perfect fluid models the dark matter and the space-time background is that of a…

Astrophysics of Galaxies · Physics 2015-03-19 F. S. Guzman , F. D. Lora-Clavijo

Rotating black holes without equatorial reflection symmetry can naturally arise in effective low-energy theories of fundamental quantum gravity, in particular, when parity-violating interactions are introduced. Adopting a theory-agnostic…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Che-Yu Chen , Hsiang-Yi Karen Yang

We drop the complexification procedure from the Newman-Janis algorithm and introduce more physical arguments and symmetry properties, and we show how one can generate regular and singular rotating black hole and non-black-hole solutions in…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Mustapha Azreg-Aïnou

Exact, analytic, asymptotically flat rotating black-hole solutions are exceedingly rare, with only a handful of examples known. Using a Kerr-Schild ansatz, we derive a multitude of exact, analytic, asymptotically flat rotating black-hole…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Pedro G. S. Fernandes

A rotating stationary solution of the vacuum Einstein equations with a cosmological constant is exhibited which reduces to de Sitter's interior cosmological solution when the angular momentum goes to zero. This solution is locally…

Astrophysics · Physics 2008-09-10 G. F. Chapline , P. Marecki

We review our recent work on linear stability for scalar perturbations of Kerr spacetimes, that is to say, boundedness and decay properties for solutions of the scalar wave equation \Box_g{\psi} = 0 on Kerr exterior backgrounds. We begin…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Mihalis Dafermos , Igor Rodnianski

The lack of a positive-definite and conserved energy is a serious obstacle in the black hole stability problem. In this work, we will show that there exists a positive-definite and conserved Hamiltonian energy for axially symmetric linear…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Nishanth Gudapati