scholarly journals Exploiting the hidden symmetry of spinning black holes: conservation laws and numerical tests

2017 ◽  
Vol 473 (2) ◽  
pp. 2434-2440 ◽  
Author(s):  
Vojtěch Witzany
Keyword(s):  
Black Holes ◽  
Conservation Laws ◽  
Numerical Tests ◽  
Hidden Symmetry

Inconsistency of conservation laws for the baryon number and electric charge with the conception of black holes

2011 ◽  
Vol 56 (7) ◽  
pp. 359-361 ◽  
Author(s):  
S. S. Gershtein ◽  
A. A. Logunov ◽  
M. A. Mestvirishvili
Keyword(s):  
Black Holes ◽  
Conservation Laws ◽  
Electric Charge ◽  
Baryon Number

Noether symmetry analysis for novel gravitational wave-like spacetimes and their conservation laws

2020 ◽  
Vol 35 (28) ◽  
pp. 2050234
Author(s):  
Amir Sultan Khan ◽  
Israr Ali Khan ◽  
Saeed Islam ◽  
Farhad Ali
Keyword(s):  
Black Holes ◽  
Conservation Laws ◽  
Neutron Stars ◽  
Gravitational Wave ◽  
Hawking Radiation ◽  
Conformal Factor ◽  
Noether Symmetries ◽  
Plane Symmetric ◽  
Symmetric Spacetimes ◽  
Symmetric Structure

The phenomena-like Hawking radiation, the collapse of black holes, and neutron stars decrease the curvature of spacetime continuously with the passage of time. The time conformal factor adds some curvature to nonstatic spacetime. In this article, some novel classes of nonstatic plane-symmetric spacetimes are explored by introducing a time conformal factor in the exact plane-symmetric spacetimes in such a way that their symmetric structure remains conserved. This technique re-scales the energy contents of the corresponding spacetimes, which comes with a re-scaled part in each spacetime. The invariant quantities corresponding to the Noether symmetries are also calculated.

scholarly journals On the Black-Hole Kink

1997 ◽  
Vol 06 (01) ◽  
pp. 57-68 ◽  
Author(s):  
Pedro F. González-Díaz
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Conservation Laws ◽  
Schwarzschild Black Hole ◽  
Interior Surface ◽  
Quantum Regime ◽  
Probability Of Occurrence

By allowing the light cones to tip over on hypersurfaces according to the conservation laws of an one-kink in static, Schwarzschild black-hole metric, we show that in the quantum regime there also exist instantons whose finite imaginary action gives the probability of occurrence of the kink metric corresponding to single chargeless, nonrotating black holes taking place in pairs, the holes of each pair being joined on an interior surface, beyond the horizon.

scholarly journals Simple bespoke preservation of two conservation laws

2018 ◽  
Vol 40 (2) ◽  
pp. 1294-1329 ◽  
Author(s):  
Gianluca Frasca-Caccia ◽  
Peter Ellsworth Hydon
Keyword(s):  
Finite Difference ◽  
Conservation Laws ◽  
Vries Equation ◽  
Finite Difference Methods ◽  
Nonlinear Heat Equation ◽  
Finite Difference Schemes ◽  
Simplified Approach ◽  
Numerical Tests ◽  
Difference Methods ◽  
Discrete Conservation Laws

Abstract Conservation laws are among the most fundamental geometric properties of a partial differential equation (PDE), but few known finite difference methods preserve more than one conservation law. All conservation laws belong to the kernel of the Euler operator, an observation that was first used recently to construct approximations symbolically that preserve two conservation laws of a given PDE. However, the complexity of the symbolic computations has limited the effectiveness of this approach. The current paper introduces some key simplifications that make the symbolic–numeric approach feasible. To illustrate the simplified approach we derive bespoke finite difference schemes that preserve two discrete conservation laws for the Korteweg–de Vries equation and for a nonlinear heat equation. Numerical tests show that these schemes are robust and highly accurate compared with others in the literature.

scholarly journals ENTROPY OF SELF–GRAVITATING SYSTEMS FROM HOLST'S LAGRANGIAN

2009 ◽  
Vol 06 (02) ◽  
pp. 361-365 ◽  
Author(s):  
L. FATIBENE ◽  
M. FERRARIS ◽  
M. FRANCAVIGLIA ◽  
G. PACCHIELLA
Keyword(s):  
Black Holes ◽  
Conservation Laws ◽  
Conserved Quantities ◽  
Gravitating Systems

We shall prove here that conservation laws from Holst's Lagrangian, often used in LQG, do not agree with the corresponding conservation laws in standard GR. Nevertheless, these differences vanish on-shell, i.e. along solutions, so that they eventually define the same classical conserved quantities. Accordingly, they define in particular the same entropy of solutions, and the standard law [Formula: see text] is reproduced for systems described by Holst's Lagrangian. This provides the classical support to the computation usually done in LQG for the entropy of black holes which is in turn used to fix the Barbero–Immirzi parameter.

scholarly journals Darboux covariance: A hidden symmetry of perturbed Schwarzschild black holes

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
Michele Lenzi ◽  
Carlos F. Sopuerta
Keyword(s):  
Black Holes ◽  
Hidden Symmetry
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