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I have derived the Kretschmann scalar for a general black hole of mass m, angular momentum per unit mass a, and electric charge Q. The Kretschmann scalar gives the amount of curvature of spacetime, as a function of position near (and…

Astrophysics · Physics 2009-10-31 Richard C. Henry

We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-up rates of curvature and mass at the spacelike singularity…

Analysis of PDEs · Mathematics 2020-04-27 Xinliang An , Dejan Gajic

Black holes are among the most exciting phenomena predicted by General Relativity and play a key role in fundamental physics. Many interesting phenomena involve dynamical black hole configurations in the high curvature regime of gravity. In…

General Relativity and Quantum Cosmology · Physics 2013-10-11 Helvi Witek

Using a yukawa type of metric we derive the kretschmann scalar for a general static black hole of a certain mass. The scalar gives the curvature of the space time as a function of the radial distance in the vicinity as well as inside of the…

General Relativity and Quantum Cosmology · Physics 2014-06-10 Ioannis Gkigkitzis , Ioannis Haranas , Omiros Ragos

The Aschenbach effect is widely regarded as a manifestation of two quintessential relativistic features: frame dragging and extreme spacetime curvature. Traditionally associated with rotating geometries, this non-monotonic behavior in…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Mohammad Ali S. Afshar , Jafar Sadeghi , Tahereh Azizi , A. S. Sefiedgar

We study spherical scalar collapse toward a black hole formation and examine the asymptotic dynamics near the central singularity of the formed black hole. It is found that, in the vicinity of the singularity, due to the strong backreaction…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Jun-Qi Guo , Pankaj S. Joshi , Jose T. Galvez Ghersi

Black holes in our Universe are rarely truly isolated, being instead embedded in astrophysical environments such as plasma or dark matter. A particularly intriguing possibility is that light scalar fields form bound states around black…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Matteo Della Rocca , Thomas F. M. Spieksma , Francisco Duque , Leonardo Gualtieri , Vitor Cardoso

The gravitational collapse of a spherically symmetric massive core of a star in which the fluid component is interacting with a growing vacuum energy density filling a FLRW type geometry with an arbitrary curvature parameter is…

General Relativity and Quantum Cosmology · Physics 2013-03-05 E. L. D. Perico , J. A. S. Lima , M. Campos

Dynamical Chern-Simons gravity is an extension of General Relativity in which the gravitational field is coupled to a scalar field through a parity-violating Chern-Simons term. In this framework, we study perturbations of spherically…

General Relativity and Quantum Cosmology · Physics 2013-12-04 C. Molina , Paolo Pani , Vitor Cardoso , Leonardo Gualtieri

Black holes in scalar-Gauss-Bonnet gravity are prone to scalarization, that is a spontaneous development of scalar hair for strong enough spacetime curvature while the weak field regime of the theory coincides with general relativity. Since…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Daniela D. Doneva , Alex Vañó-Viñuales , Stoytcho S. Yazadjiev

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

In the absence of a fully-fledged theory of quantum gravity, we propose a "bottom-up" framework for exploring quantum-gravitational physics by pairing two of the most fundamental concepts of quantum theory and general relativity, namely…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Joshua Foo , Robert B. Mann , Magdalena Zych

In this paper we consider the full set of quantum gravitational corrections to a star metric to second order in curvature. As we use an effective field theoretical approach, these corrections apply to any model of quantum gravity that is…

High Energy Physics - Theory · Physics 2019-10-23 Xavier Calmet , Roberto Casadio , Folkert Kuipers

We perform numerical simulations of the gravitational collapse of a spherically symmetric scalar field. For those data that just barely do not form black holes we find the maximum curvature at the position of the central observer. We find a…

General Relativity and Quantum Cosmology · Physics 2010-11-19 David Garfinkle , G. Comer Duncan

In this paper we try to clarify that a regular metric can generate a singular spacetime. Our work focuses on a static and spherically symmetric spacetime in which regularity exists when all components of the Riemann tensor are finite. There…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Manuel E. Rodrigues , Henrique A. Vieira

Chern-Simons (CS) modified gravity is an extension to general relativity (GR) in which the metric is coupled to a scalar field, resulting in modified Einstein field equations. In the dynamical theory, the scalar field is itself sourced by…

High Energy Astrophysical Phenomena · Physics 2011-12-16 Yacine Ali-Haïmoud , Yanbei Chen

The final equilibrium stage of stellar evolution can result in either a black hole or a compact object such as a white dwarf or neutron star. In general relativity, both stationary black holes and stationary stellar configurations are known…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Nitesh K. Dubey , Sanved Kolekar , Sudipta Sarkar

As time passes, once simple quantum states tend to become more complex. For strongly coupled k-local Hamiltonians, this growth of computational complexity has been conjectured to follow a distinctive and universal pattern. In this paper we…

High Energy Physics - Theory · Physics 2017-02-28 Adam R. Brown , Leonard Susskind , Ying Zhao

General relativity predicts that a rotating black hole drags the spacetime due to its spin. This effect can influence the motion of nearby objects, causing them to either fall into the black hole or orbit around it. In classical Newtonian…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Mohammad Ali S. Afshar , Jafar Sadeghi

We analyse the physics of nonlinear gravitational processes inside a spherical charged black hole perturbed by a self-gravitating massless scalar field. For this purpose we created an appropriate numerical code. Throughout the paper, in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jakob Hansen , Alexei Khokhlov , Igor Novikov
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