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In this paper, we investigate the fully relativistic time delay of pulsar signals propagating in the vicinity of a rotating black hole and its potential mimickers, including a deformed Kerr black hole and the Janis-Newman-Winicour naked…

In the present article we find a new class of solutions of Einstein's field equations. It describes stationary, cylindrically symmetric spacetimes with closed timelike geodesics everywhere outside the symmetry axis. These spacetimes contain…

General Relativity and Quantum Cosmology · Physics 2010-04-20 Oyvind Gron , Steinar Johannesen

The Aschenbach effect, the increasing behavior of the angular velocity of a timelike circular orbit with its radius coordinate, is found to extensively exist in rapidly spinning black holes to a zero-angular-momentum observer. It also has…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Shao-Wen Wei , Yu-Xiao Liu

Using a scalar field as an intrinsic 'clock' while investigating the dynamics of gravitational systems has been successfully pursued in various researches on the border between classical and quantum gravity. The objective of our research…

General Relativity and Quantum Cosmology · Physics 2015-09-25 Anna Nakonieczna , Jerzy Lewandowski

We give the generalization of the method of the space-time description of particle creation by a gravitational field for a scalar field with nonconformal coupling to the curvature. The space-time correlation function is obtained for a…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Yu. V. Pavlov

We study propagation of high-frequency electromagnetic and gravitational waves in the gravitational field of a rotating black hole. Due to the interaction of the spin of the field with the spacetime curvature, the standard geometric optics…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Valeri P. Frolov , Alex Koek

It is known that the gravitational analog of the Faraday rotation arises in the rotating spacetime due to the nonzero gravitomagnetic field. In this paper, we show that it also arises in the "nonrotating" Reissner-Nordstr\"om spacetime, if…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Chandrachur Chakraborty

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhen Li

The method of geodesic deviations provides analytic approximations to geodesics in arbitrary background space-times. As such the method is a useful tool in many practical situations. In this note we point out some subtleties in the…

General Relativity and Quantum Cosmology · Physics 2011-05-10 G. Koekoek , J. W. van Holten

We construct a class of stationary, axisymmetric, horizonless spacetimes whose curvature is generated entirely by smooth, localised differential rotation $\Omega(r)$, while the spatial geometry remains exactly flat. Despite vanishing ADM…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Francisco S. N. Lobo , Tiberiu Harko

Pulsar timing array experiments search for phenomena that produce angular correlations in the arrival times of signals from millisecond pulsars. The primary goal is to detect an isotropic and stochastic gravitational wave background. We use…

Instrumentation and Methods for Astrophysics · Physics 2015-12-16 Caterina Tiburzi , George Hobbs , Matthew Kerr , William Coles , Shi Dai , Richard Manchester , Andrea Possenti , Ryan Shannon , Xiaopeng You

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

Reference frames are crucial for describing local observers in general relativity. In quantum gravity, different proposals exist for how to treat reference frames. There are models with either classical or quantum reference frames.…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Kristina Giesel , Viktoria Kabel , Wolfgang Wieland

According to general relativity, an isolated black hole in vacuum shall be described by the Kerr metric, whose geodesic equations are integrable. The violation of integrability leads to chaos for particles moving around the black hole. This…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Che-Yu Chen , Hsu-Wen Chiang , Avani Patel

We obtain a new class of stationary axisymmetric spacetimes by using the G\"urses-G\"ursey metric with an appropriate mass function in order to generate a rotating core of matter that may be smoothly matched to the exterior Kerr metric. The…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Angel D. Masa , Vilson T. Zanchin

The analytic forms of the asymptotic quasinormal frequencies of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime is investigated by using the monodromy technique proposed by Motl and Neitzke. It is found that…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Songbai Chen , Jiliang Jing

An analytical expression is derived for the rate of gravitational Faraday rotation measured by Eulerian observers. The reference frame is a Fermi-Walker triad aligned with the spatial wave vector. Attention is restricted to the ADM split of…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Mark T. Lusk

Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form $H^2\times M(1,1)$ and $S^2\times M(1,1)$.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Indranil Chakraborty , Sayan Kar

We show that the existence of appropriate spatial homothetic Killing vectors is directly related to the separability of the metric functions for axially symmetric spacetimes. The density profile for such spacetimes is (spatially) arbitrary…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Sanjay M. Wagh , Keshlan S. Govinder

In the first paper in this series, we introduced "persistent gravitational wave observables" as a framework for generalizing the gravitational wave memory effect. These observables are nonlocal in time and nonzero in the presence of…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Éanna É. Flanagan , Alexander M. Grant , Abraham I. Harte , David A. Nichols