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Related papers: Choosing the phase for the spin-weighted spheroida…

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It has been argued that wormholes are as good a prediction of Einstein's theory as black holes but the theoretical construction requires a reverse strategy, specifying the desired geometric properties of the wormhole and leaving open the…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Peter K. F. Kuhfittig

The complete next to leading logarithmic (${\cal O}(\alpha_{s})$) corrections to the spin dependent weak deep inelastic structure functions $g_{1},g_{3}$ and $g_{4}$, are calculated using dimensional regularization within the HVBM method.…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. de Florian , R. Sassot

In the context of the dynamics and stability of black holes in modified theories of gravity, we derive the Teukolsky equations for massless fields of all spins in general spherically-symmetric and static metrics. We then compute the…

General Relativity and Quantum Cosmology · Physics 2021-05-10 Alexandre Arbey , Jérémy Auffinger , Marc Geiller , Etera R. Livine , Francesco Sartini

We discuss aspects of the Euclidean path integral around axion-supported de Sitter wormholes, at one-loop order. We numerically compute the phase of the path integral around these solutions, as well as for a certain "multiple wormholes"…

High Energy Physics - Theory · Physics 2026-03-23 Victor Ivo , Haifeng Tang

For one dimensional maps the trajectory scaling functions is invariant under coordinate transformations and can be used to compute any ergodic average. It is the most stringent test between theory and experiment, but so far it has proven…

chao-dyn · Physics 2009-10-22 Ronnie Mainieri , Robert E. Ecke

Let $D_{T}$ and $B_{\Omega }$ denote the operators which cut the time content outside $T$ and the frequency content outside $\Omega $, respectively. The prolate spheroidal functions are the eigenfunctions of the operator $P_{T,\Omega…

Functional Analysis · Mathematics 2015-05-20 Luís Daniel Abreu , João M. Pereira

Recent work applying the notion of pseudospectrum to gravitational physics showed that the quasinormal mode spectrum of black holes is unstable, with the possible exception of the longest-lived (fundamental) mode. The fundamental mode…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Mark Ho-Yeuk Cheung , Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso

In recent years it has become apparent that intriguing phenomenology exists at the threshold of black hole formation in a large class of general relativistic collapse models. This phenomenology, which includes scaling, self-similarity and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. W. Choptuik

In this paper we investigate two variants of $\alpha$-stable processes, namely tempered stable subordinators and modified tempered stable process as well as their renormalization. We study the weak convergence in the Skorohod space and…

Probability · Mathematics 2017-08-23 Jose Luis da Silva , Mohamed Erraoui

The nonlinear Schr\"odinger-Newton equation, a prospective semiclassical alternative to a quantized theory of gravity, predicts a gravitational self-force between the two trajectories corresponding to the two z-spin eigenvalues for a…

General Relativity and Quantum Cosmology · Physics 2025-01-15 André Großardt

The Klein-Gordon equation for the wave function of a single massive scalar is written in spherical and parabolic coordinates in the presence of a Schwarzschild background, and some semi-classical techniques for deriving asymptotic results…

General Relativity and Quantum Cosmology · Physics 2011-06-15 Derek Lee

We study thermodynamic quantities and phase transitions of a spherically symmetric Schwarzschild black hole by taking into account the back reaction through the conformal anomaly of matter fields, and show that there exists an additional…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Edwin J. Son , Wontae Kim

The time evolution of linear fields of spin $s = \pm 1$ and $s = \pm 2$ on Kerr black hole spacetimes are investigated by solving the homogeneous Teukolsky equation numerically. The applied numerical setup is based on a combination of…

General Relativity and Quantum Cosmology · Physics 2020-02-03 Károly Csukás , István Rácz , Gábor Zsolt Tóth

We study linear even-parity perturbations of static and spherically symmetric black holes with a timelike scalar profile by use of the effective field theory (EFT) approach. For illustrative purposes, we consider a simple subclass of the…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Shinji Mukohyama , Kazufumi Takahashi , Keitaro Tomikawa , Vicharit Yingcharoenrat

Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Paolo Pani

The Effective Field Theory (EFT) of perturbations on an arbitrary background geometry with a timelike scalar profile was recently constructed in the context of scalar-tensor theories. In this paper, we use this EFT to study quasinormal…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Shinji Mukohyama , Kazufumi Takahashi , Keitaro Tomikawa , Vicharit Yingcharoenrat

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

The theory of scarring of eigenfunctions of classically chaotic systems by short periodic orbits is extended in several ways. The influence of short-time linear recurrences on correlations and fluctuations at long times is emphasized. We…

chao-dyn · Physics 2009-08-14 L. Kaplan , E. J. Heller

We study the possibility of having Black hole of spherical and ring horizon topology with five independent charges in the $U(1)^3$-model of 5D gauge supergravity. To study these possibilities we consider not only the known result obtained…

High Energy Physics - Theory · Physics 2008-11-26 Pedro J. Silva

Evaluating a functional integral exactly over a subset of metrics that represent the quantum fluctuations of the horizon of a black hole, we obtain a Schroedinger equation in null coordinate time for the key component of the metric. The…

High Energy Physics - Theory · Physics 2012-08-27 James W. York, , Bjoern S. Schmekel