scholarly journals Rotating spacetime: black-bounces and quantum deformed black hole

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Zhaoyi Xu ◽  
Meirong Tang
Keyword(s):  
Black Hole ◽  
Field Equation ◽  
Exact Solutions ◽  
Event Horizon ◽  
Energy Condition ◽  
Limit Surface ◽  
Schwarzschild Spacetime ◽  
Schwarzschild Metric ◽  
Link Type

AbstractRecently, two kinds of deformed schwarzschild spacetime have been proposed, which are the black-bounces metric (Simpson and Visser in J Cosmol Astropart Phys 2019:042, 2019, Lobo et al. in Phys Rev D 103:084052, 2021) and quantum deformed black hole (BH) (Berry et al. in arXiv:2102.02471, 2021). In present work, we investigate the rotating spacetime of these deformed Schwarzschild metric. They are exact solutions to the Einstein’s field equation. We analyzed the properties of these rotating spacetimes, such as event horizon (EH), stationary limit surface (SIS), structure of singularity ring, energy condition (EC), etc., and found that these rotating spacetime have some novel properties.

scholarly journals The (A)symmetry between the Exterior and Interior of a Schwarzschild Black Hole

2018 ◽  
Author(s):  
Pawel Gusin ◽  
Andy Augousti ◽  
Filip Formalik ◽  
Andrzej Radosz
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Equations Of Motion ◽  
Coordinate Systems ◽  
Schwarzschild Black Hole ◽  
Schwarzschild Spacetime ◽  
The Relationship

A black hole in a Schwarzschild spacetime is considered. A transformation is proposed that describes the relationship between the coordinate systems exterior and interior to an event horizon. Application of this transformation permits considerations of the (a)symmetry of a range of phenomena taking place on both sides of the event horizon. The paper investigates two distinct problems of a uniformly accelerated particle. In one of these, although the equations of motion are the same in the regions on both sides, the solutions turn out to be very different. This manifests the differences of the properties of these two ranges.

Quantum probing of singularities at event horizons of black holes

2021 ◽  
pp. 2150147
Author(s):  
V. P. Neznamov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Event Horizon ◽  
Stationary States ◽  
Coordinate Transformations ◽  
Event Horizons ◽  
Schwarzschild Metric

It is proved that coordinate transformations of the Schwarzschild metric to new static and stationary metrics do not eliminate the mode of a particle “fall” to the event horizon of a black hole. This mode is unacceptable for the quantum mechanics of stationary states.

scholarly journals Dirac Monopoles in the Ernst–Schwarzschild Spacetime

2003 ◽  
Vol 18 (12) ◽  
pp. 2153-2157 ◽  
Author(s):  
A. A. Bytsenko ◽  
Yu. P. Goncharov
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
External Magnetic Field ◽  
Explicit Form ◽  
Hawking Radiation ◽  
Maxwell Equations ◽  
Schwarzschild Spacetime ◽  
Dirac Monopole ◽  
Schwarzschild Metric ◽  
The Given

It is discussed that the Ernst–Schwarzschild metric describing a nonrotating black hole in the external magnetic field admits the solutions of the Dirac monopole types for the corresponding Maxwell equations. The given solutions are obtained in explicit form and a possible influence of the conforming Dirac monopoles on Hawking radiation is also outlined.

scholarly journals Constraining the number of horizons with energy conditions

2021 ◽  
Author(s):  
Run-Qiu Yang ◽  
Rong-Gen Cai ◽  
Li Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Event Horizon ◽  
Energy Condition ◽  
Null Energy Condition ◽  
Energy Conditions ◽  
Strong Energy ◽  
Killing Horizon ◽  
Static Black Hole ◽  
Matter Fields

Abstract We show that the number of horizons of static black holes can be strongly constrained by energy conditions of matter fields. After a careful clarification on the ``interior'' of a black hole, we prove that if the interior of a static black hole satisfies strong energy condition or null energy condition, there is at most one non-degenerated inner Killing horizon behind the non-degenerated event horizon. Our result offers some universal restrictions on the number of horizons. Interestingly and importantly, it also suggests that matter not only promotes the formation of event horizon but also prevents the appearance of multiple horizons inside black holes. Furthermore, using the geometrical construction, we obtain a radially conserved quantity which is valid for general static spacetimes.

scholarly journals A spherically topological analysis of stationary black holes

2018 ◽  
Vol 1 ◽  
pp. 33-36
Author(s):  
Benjamin Puzantian
Keyword(s):  
Black Holes ◽  
Signal Processing ◽  
Black Hole ◽  
Angular Momentum ◽  
Fourier Analysis ◽  
Event Horizon ◽  
Topological Analysis ◽  
Stationary Black Hole ◽  
Einstein's Equations ◽  
Schwarzschild Metric

A black hole with zero angular momentum is said to be stationary and under certain conditions such a black hole can represented as a sphere. This review examines Hawking’s topology theorem, the Schwarzschild metric, novel solutions to Einstein’s equations, resonances of hyperbolic orbits around the event horizon for spherical, stationary black holes, and analyzes their importance. It is suggested, that in the spherical stationary black hole case, the Fourier analysis can be used to find the resonances due to Geometric scattering of hyperbolic orbits and thus the outgoing energy fields from the event horizon can be found more precisely; allowing for the adequate signal processing analysis to be found for such a field.

scholarly journals The (A)symmetry between the Exterior and Interior of a Schwarzschild Black Hole

Symmetry ◽  
2018 ◽  
Vol 10 (9) ◽  
pp. 366 ◽  
Author(s):  
Pawel Gusin ◽  
Andy Augousti ◽  
Filip Formalik ◽  
Andrzej Radosz
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Equations Of Motion ◽  
Coordinate Systems ◽  
Schwarzschild Black Hole ◽  
Schwarzschild Spacetime ◽  
The Relationship

A black hole in a Schwarzschild spacetime is considered. A transformation is proposed that describes the relationship between the coordinate systems exterior and interior to an event horizon. The application of this transformation permits considerations of the (a)symmetry of a range of phenomena taking place on both sides of the event horizon. The paper investigates two distinct problems of a uniformly accelerated particle. In one of these, although the equations of motion are the same in the regions on both sides, the solutions turn out to be very different. This manifests the differences of the properties of these two ranges.

scholarly journals Charged BTZ black holes cannot be destroyed via the new version of the gedanken experiment

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Xin-Yang Wang ◽  
Jie Jiang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Event Horizon ◽  
Energy Condition ◽  
Second Order ◽  
Order Perturbation ◽  
Conical Singularity ◽  
Gedanken Experiment ◽  
Btz Black Holes ◽  
Matter Fields

AbstractThe singularity at the center of charged Bañados–Teitelboim–Zanelli (BTZ) black holes is called a conical singularity. Unlike the canonical singularity in typical black holes, a conical singularity does not destroy the causality of spacetime. Due to the special property of the conical singularity, we examine the weak cosmic censorship conjecture (WCCC) using the new version of the gedanken experiment proposed by Sorce and Wald. A perturbation process wherein the spherically symmetric matter fields pass through the event horizon and fall into the black holes is considered. Assuming that the cosmological constant is obtained by the matter fields, it therefore can be seen as a dynamical variable during the process. From this perspective, according to the stability condition and the null energy condition, the first- and second-order perturbation inequalities are derived. Based on the first-order optimal condition and the second-order perturbation inequality, we show that the nearly extremal charged BTZ black hole cannot be destroyed in the above perturbation process. The result also implies that even if the singularity at the center of the black hole is conical, it still should be surrounded by the event horizon and hidden inside the black hole.

scholarly journals Exact solutions to a massive charged scalar field equation in the magnetically charged stringy black-hole geometry and Hawking radiation

2009 ◽  
Vol 87 (4) ◽  
pp. 349-352 ◽  
Author(s):  
I. Sakalli ◽  
A. Al-Badawi
Keyword(s):  
Black Hole ◽  
Field Equation ◽  
Scalar Field ◽  
Exact Solutions ◽  
Magnetic Charge ◽  
Heun Equation ◽  
Complex Scalar ◽  
Charged Scalar ◽  
Scalar Field Equation ◽  
Spheroidal Harmonics

Exact solutions of a massive complex scalar field equation in the geometry of a Garfinkle–Horowitz–Strominger (stringy) black hole with magnetic charge is explored. The separated radial and angular parts of the wave equation are solved exactly in the nonextreme case. The angular part is shown to be an ordinary spin-weighted spheroidal harmonics with a spin-weight depending on the magnetic charge. The radial part is achieved to reduce a confluent Heun equation with a multiplier. Finally, based on the solutions, it is shown that the Hawking temperature of the magnetically charged stringy black hole has the same value as that of the Schwarzschild black hole.

What is the meaning of the pullback Schwarzschild metric?

2019 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Black Hole ◽  
Thought Experiment ◽  
Schwarzschild Metric

We propose a thought experiment regarding the pullback Schwarzschild metric, considering that there is no interior of a black hole.

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