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A modified version of the Schwarzschild geometry is proposed. The source of curvature comes from an anisotropic fluid with $p_{r} = -\rho$ and fluctuating tangential pressures. The event horizon has zero surface gravity but the invariant…

广义相对论与量子宇宙学 · 物理学 2013-10-10 Hristu Culetu

Choptuik's critical phenomena in general relativity is revisited in the affine-null metric formulation of Einstein's equations for a massless scalar field in spherical symmetry. Numerical solutions are obtained by evolution of initial data…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Thomas Mädler , Olaf Baake , Hamideh Hosseini , Jeffrey Winicour

We construct black holes with scalar hair in a wide class of four-dimensional N=2 Fayet-Iliopoulos gauged supergravity theories that are characterized by a prepotential containing one free parameter. Considering the truncated model in which…

高能物理 - 理论 · 物理学 2015-05-25 Federico Faedo , Dietmar Klemm , Masato Nozawa

We study black holes in the recently proposed ghost-free theory with two gravitons, one of which is massive and another is massless. These black holes possess a regular event horizon which is common for both metrics and has the same values…

高能物理 - 理论 · 物理学 2013-05-30 Mikhail S. Volkov

In the aim of shedding a new light on the classical black hole evaporation conjecture stating that a static brane-localized black hole (BH) larger than the bulk curvature scale does not exist in Randall-Sundrum II (RS-II) model, we…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Norihiro Tanahashi , Takahiro Tanaka

The improved version of ghost-free $f(\mathcal{G})$ gravity introduced in Phys.~Lett.~B \textbf{631} (2005), 1-6 is proposed and investigated. It is demonstrated that improved ghost-free $f(\mathcal{G})$ gravity may be consistently applied…

广义相对论与量子宇宙学 · 物理学 2024-10-16 Shin'ichi Nojiri , S. D. Odintsov

We construct exact initial data for closed cosmological models filled with regularly arranged black holes in the presence of $\Lambda$. The intrinsic geometry of the 3-dimensional space described by this data is a sum of simple closed-form…

广义相对论与量子宇宙学 · 物理学 2017-03-15 Jessie Durk , Timothy Clifton

Apparent horizon plays an important role in numerical relativity as it provides a tool to characterize the existence and properties of black holes on three-dimensional spatial slices in 3+1 numerical spacetimes. Apparent horizon finders…

广义相对论与量子宇宙学 · 物理学 2025-03-03 Hon-Ka Hui , Lap-Ming Lin

In this paper we have recalled the semiclassical metric obtained from a classical analysis of the loop quantum black hole (LQBH). We show that the regular Reissner-Nordstrom-like metric is self-dual in the sense of T-duality: the form of…

高能物理 - 理论 · 物理学 2009-11-06 Leonardo Modesto , Isabeau Prémont-Schwarz

We study the asymptotic quasi-normal modes for the scalar perturbation of the non-commutative geometry inspired Schwarzschild black hole in (3+1) dimensions. We have considered $M\geq M_0$, which effectively correspond to a single horizon…

高能物理 - 理论 · 物理学 2008-11-26 Pulak Ranjan Giri

We make use of the fact that the optical geometry near a static non-degenerate Killing horizon is asymptotically hyperbolic to investigate universal features of black hole physics. We show how the Gauss-Bonnet theorem allows certain lensing…

广义相对论与量子宇宙学 · 物理学 2009-11-13 G. W. Gibbons , C. M. Warnick

In Loop Quantum Gravity (LQG) the quantisation of General Relativity leads to precise predictions for the eigenvalues of geometrical observables like volume and area, up to the value of the only free parameter of the theory, the…

广义相对论与量子宇宙学 · 物理学 2021-01-01 Cássio Pigozzo , Flora S. Bacelar , Saulo Carneiro

We consider smooth Gowdy-symmetric generalised Taub-NUT solutions, a class of inhomogeneous cosmological models with spatial three-sphere topology. They are characterised by existence of a smooth past Cauchy horizon and, with the exception…

广义相对论与量子宇宙学 · 物理学 2024-10-15 Jörg Hennig

The modified first laws of thermodynamics at the black hole horizon and the cosmological horizon of the Schwarzschild de Sitter black hole and the apparent horizon of the Friedmann-Robertson-Walker cosmology are derived by the surface…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Deyou Chen , Xiaoxiong Zeng

Let $(M^4,\bar{g})$ be an Einstein manifold, where $M^4$ is a smooth, closed, oriented four-manifold $M^4$ and $\bar{g}$ has positive Einstein constant. Given a point $0 \in M^4$, let $G$ denote the (positive) Green's function $G$ of the…

微分几何 · 数学 2025-12-09 Matthew Gursky , Andrea Malchiodi

Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degenerate Killing horizon. In this paper, we prove that the full…

微分几何 · 数学 2024-09-20 Klaus Kroencke , Oliver Petersen

Recently it was shown that, in an effective description motivated by loop quantum gravity, singularities of the Kruskal space-time are naturally resolved [1,2]. In this note we explore a few properties of this quantum corrected effective…

广义相对论与量子宇宙学 · 物理学 2021-01-14 Abhay Ashtekar , Javier Olmedo

In our recent publication (Phys. Rev. D 106, 104004 (2022)), we advanced a program that Buchdahl originated but prematurely abandoned circa 1962 (Nuovo Cimento 23, 141 (1962)). Therein we obtained an exhaustive class of metrics that…

广义相对论与量子宇宙学 · 物理学 2023-05-05 Hoang Ky Nguyen

We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

广义相对论与量子宇宙学 · 物理学 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

We develop a framework for understanding the existence of asymptotically flat solutions to the static vacuum Einstein equations with prescribed boundary data consisting of the induced metric and mean curvature on a 2-sphere. A partial…

微分几何 · 数学 2015-05-14 Michael T. Anderson , Marcus A. Khuri