Particles dynamics around time conformal quintessential Schwarzschild black hole

2020 ◽  
Vol 29 (13) ◽  
pp. 2050095
Author(s):  
Israr Ali Khan ◽  
Amir Sultan Khan ◽  
Saeed Islam ◽  
Farhad Ali
Keyword(s):  
Black Hole ◽  
Small Parameter ◽  
Conservation Laws ◽  
Charged Particles ◽  
Conformal Factor ◽  
Noether Symmetries ◽  
Schwarzschild Black Hole ◽  
Approximate Symmetries ◽  
Particles Dynamics ◽  
General Time

In this paper, the effect of time is explored on the dynamics of neutral and charged particles around the Schwarzschild (Sch) black hole (BH) environed by quintessence. We introduce a general time conformal factor [Formula: see text] to the quintessential Sch spacetime, where [Formula: see text] is a time ([Formula: see text])-dependent function and [Formula: see text], a small parameter, that causes perturbation in the corresponding spacetime. The Noether symmetry equation is obtained with the help of Lagrangian corresponding to time conformal Sch spacetime environed by quintessence. Consequently, we get a 19 partial differential equations (PDEs) system. The solution of this system gives Noether symmetries, Noether approximate symmetries, and the corresponding conservation laws. The dynamics of neutral/charged particles are studied as well as graphically analyzed at the foot of these invariants.

Dynamics of the particle around AdS Schwarzschild black hole environed by quintessence

2020 ◽  
Author(s):  
Amir Sultan Khan ◽  
Farhad Ali ◽  
Israr Ali Khan
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Charged Particles ◽  
Particle Dynamics ◽  
Point Particle ◽  
Noether Symmetries ◽  
Escape Velocity ◽  
Schwarzschild Black Hole ◽  
Complex Motion ◽  
Celestial Bodies

The field of point particle dynamics is correlated with the particle dynamics around a black hole, and one can initiate the investigation of a more complex motion of extended bodies/celestial bodies. In this article, we study the dynamics of neutral/charged particles around the AdS Schwarzschild black hole surrounded by quintessence. At the foot of Noether symmetries and the conservation laws of the proposed spacetime, we discuss the effect of the cosmological constant, angular momentum, quintessence parameter, and magnetic field on the dynamics of neutral and charged particles in the form of the effective potential, effective force and escape velocity. Finally, we investigate the orbit stability of spacetime with the help of the Lyapunov exponent.

scholarly journals Radiation Reaction of Charged Particles Orbiting a Magnetized Schwarzschild Black Hole

2018 ◽  
Vol 861 (1) ◽  
pp. 2 ◽  
Author(s):  
Arman Tursunov ◽  
Martin Kološ ◽  
Zdeněk Stuchlík ◽  
Dmitri V. Gal’tsov
Keyword(s):  
Black Hole ◽  
Charged Particles ◽  
Radiation Reaction ◽  
Schwarzschild Black Hole

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 Approximate Noether symmetries from geodetic Lagrangian for plane symmetric spacetimes

2015 ◽  
Vol 12 (10) ◽  
pp. 1550124 ◽  
Author(s):  
Farhad Ali ◽  
Tooba Feroze
Keyword(s):  
Conformal Factor ◽  
Noether Symmetries ◽  
Plane Symmetric ◽  
First Order ◽  
Symmetric Spacetimes ◽  
General Plane ◽  
Symmetric Spacetime ◽  
Conformal Plane ◽  
General Time

Noether symmetries from geodetic Lagrangian for time-conformal plane symmetric spacetime are presented. Here, time-conformal factor is used to find the approximate Noether symmetries. This is a generalization of the idea discussed,5–6 where they obtained approximate Noether symmetries from Lagrangian for a particular plane symmetric static spacetime. In the present paper, the most general plane symmetric static spacetime is considered and perturbed it by introducing a general time-conformal factor eϵf(t), where ϵ is very small which causes the perturbation in the spacetime. Taking the perturbation up to the first-order, we find all Lagrangian for plane symmetric spacetimes for which approximate Noether symmetries exist.

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 The Physical Significance of Time Conformal Minkowski Spacetime

2020 ◽  
Vol 39 (2) ◽  
pp. 365-370
Author(s):  
Farhad Ali ◽  
Muhammad Asif Jan ◽  
Wali Khan Mashwani ◽  
Rashida Adeeb Khanum ◽  
Hidayat Ullah Khan
Keyword(s):  
Cosmological Constant ◽  
Energy Content ◽  
Einstein Field Equation ◽  
Minkowski Spacetime ◽  
Conformal Factor ◽  
Noether Symmetry ◽  
Noether Symmetries ◽  
Einstein Field Equations ◽  
Field Equations ◽  
General Time

The Minkowsiki spacetime is flat and there is no source of gravitation. The time conformal factor is adding some cuvature to this spacetime which introduces some source of gravitation to the spacetime. For the Minkowski spacetime the Einstein Field equation tells nothing, because all the components of the Ricci curvature tensor are zero, but for the time conformal Minkowski spacetime some of them are non zero. Calculating the components of the Ricci tensor and using the Einstein field equations, expressions for the cosmological constant are cacultaed. These expressions give some information for the cosmological constant. Generally, the Noether symmetry generator corresponding to the energy content in the spacetime disapeares by introducing the time conformal factor, but our investigations in this paper reveals that it appears somewhere with some re-scale factor. The appearance of the time like isometry along with some re-scaling factor will rescale the energy content in the corresponding particular time conformal Minkowski spacetime. A time conformal factor of the form () is introduced in the Minkowski spacetime for the invistigation of the cosmological constant. The Noether symmetry equation is used for the Lagrangian of general time conformal Minkowski spacetime to find all those particular Minkowski spacetimes that admit the time conformal factor. Besides the Noether symmetries the cosmology constant is calculated in the corresponding spacetimes.

Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes

2018 ◽  
Vol 33 (21) ◽  
pp. 1850123 ◽  
Author(s):  
Farhad Ali ◽  
Wali Khan Mashwani ◽  
Muhammad Asif Jan
Keyword(s):  
Conservation Laws ◽  
Gravitational Wave ◽  
Conformal Factor ◽  
Time Dependent ◽  
Noether Symmetries ◽  
Plane Symmetric ◽  
Energy And Momentum ◽  
Symmetric Spacetime

This paper discusses the approximate Noether symmetries of the action of plane symmetric spacetime. A time-dependent conformal factor is introduced in the plane symmetric metric in such a way so as to obtain the same number of Noether symmetries as for the exact plane symmetric spacetime. The corresponding approximate conservation is obtained to discuss the conservation laws of the energy and momentum during the formation of gravitational wave.

Sign in / Sign up

Export Citation Format

Share Document