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We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

We extend the analysis of black hole pair creation to include non- orientable instantons. We classify these instantons in terms of their fundamental symmetries and orientations. Many of these instantons admit the pin structure which…

General Relativity and Quantum Cosmology · Physics 2009-10-07 A. Chamblin , G. W. Gibbons

We investigate the Einstein equation with a positive cosmological constant for $4n+4$-dimensional metrics on bundles over Quaternionic K\"ahler base manifolds whose fibers are 4-dimensional Bianchi IX manifolds. The Einstein equations are…

High Energy Physics - Theory · Physics 2009-11-10 Mitsuo Hiragane , Yukinori Yasui , Hideki Ishihara

In this work we compute the conserved currents and charges associated to the action of an infinitesimal isometry (Killing field) in Einstein--Cartan--Palatini gravity. We offer a new approach to these quantities through the formalism of…

Mathematical Physics · Physics 2026-01-01 Changsun Choi , Ryan E. Grady

This paper discusses the somewhat unintuitive conjecture that many Lorentz-invariant many-particle models can be reinterpreted to satisfy the gtr field equations. It is shown that a careful remapping of coordinates yields a non-trivial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Niclas Thisell

We derive the multipole moments of the Kerr-NUT black hole spacetime using the Geroch-Hansen formalism, even though the spacetime is not asymptotically flat. Intriguingly, in the presence of the NUT charge, the absence of reflection…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Sajal Mukherjee , Sumanta Chakraborty

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We numerically investigate the imprints of gravitational radiation-reaction driven changes to a black hole's mass and spin on the corresponding ringdown waveform. We do so by comparing the dynamics of a perturbed black hole evolved with the…

Born-Infeld electrodynamics has attracted considerable interest due to its relation to strings and D-branes. In this paper the gravitational perturbations of electrically charged black holes in Einstein-Born-Infeld gravity are studied.…

High Energy Physics - Theory · Physics 2016-05-02 Sharmanthie Fernando

We present a novel solution describing four dimensional rotating regular charged black hole in the low energy heterotic string theory. This present solution is characterized by its mass, charged, as well as angular momentum. Some aspect…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Byon N. Jayawiguna

Axially symmetric, stationary solutions of the Einstein-Maxwell equations with disconnected event horizon are studied by developing a method of explicit integration of the corresponding boundary-value problem. This problem is reduced to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. G. Varzugin , A. S. Chistyakov

We show the instability of a charged massive scalar field in bound states around Kerr-Sen black holes. By matching the near and far region solutions of the radial part in the corresponding Klein-Gordon equation, one can show that the…

High Energy Physics - Theory · Physics 2015-10-05 Haryanto M. Siahaan

We consider the $\mathrm{O}(3)$ non-linear sigma-model, composed of three real scalar fields with a standard kinetic term and with a symmetry breaking potential in four spacetime dimensions. We show that this simple, geometrically motivated…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

Multipole moments are related to the physical properties of compact gravitating objects; therefore, understanding their structure is useful in accessing the nature of compact objects. We look into gravitational wave observables for black…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Anirban Saha

Spinor structure and internal symmetries are considered within one theoretical framework based on the generalized spin and abstract Hilbert space. Complex momentum is understood as a generating kernel of the underlying spinor structure. It…

Mathematical Physics · Physics 2015-12-07 V. V. Varlamov

The uniqueness and rigidity of black holes remain central themes in gravitational research. In this work, we investigate the construction of all extremal black hole solutions to the Einstein equation for a given near-horizon geometry,…

High Energy Physics - Theory · Physics 2026-02-06 Jan Gutowski , Chettha Saelim , Martin Wolf

We study the decay of charged scalar and spinor fields around Reissner-Nordstrom black holes in de Sitter spacetime through calculations of quasinormal frequencies of the fields. The influence of the parameters of the black hole (charge,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. A. Smirnov

Rotating and/or charged black hole spacetimes possess a Cauchy horizon, beyond which Einstein's equations of General Relativity cease to be deterministic. This led to the formulation of the Strong Cosmic Censorship conjecture that such…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Marc Casals , Cássio I. S. Marinho

We prove the instability of some families of Riemannian manifolds with non-trivial real Killing spinors. These include the invariant Einstein metrics on the Aloff-Wallach spaces $N_{k, l}={\rm SU}(3)/i_{k, l}(S^{1})$ (which are all nearly…

Differential Geometry · Mathematics 2018-10-19 Changliang Wang , M. Y. -K. Wang
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