scholarly journals Kerr–Schild form of the exact metric for a constantly moving Kerr black hole and null gravitational deflection

2021 ◽  
pp. 2150067
Author(s):  
Weijun Li ◽  
Zhongwen Feng ◽  
Xia Zhou ◽  
Xueling Mu ◽  
Guansheng He
Keyword(s):  
Black Hole ◽  
Constant Velocity ◽  
Arbitrary Constant ◽  
Kerr Black Hole ◽  
Weak Field ◽  
Field Limit ◽  
Bending Angle ◽  
Weak Field Limit ◽  
Gravitational Deflection

The exact metric of a moving Kerr black hole with an arbitrary constant velocity is derived in Kerr–Schild coordinates. We then calculate the null equatorial gravitational deflection caused by a radially moving Kerr source up to the second post-Minkowskian order, acting as an application of the weak-field limit of the metric. The bending angle of light is found to be consistent with the result given in the previous works.

scholarly journals GRAVITATIONAL LENSING IN THE WEAK FIELD LIMIT BY A BRANEWORLD BLACK HOLE

2005 ◽  
Vol 20 (32) ◽  
pp. 2487-2496 ◽  
Author(s):  
A. S. MAJUMDAR ◽  
NUPUR MUKHERJEE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gravitational Lensing ◽  
Cosmic Ray ◽  
Weak Field ◽  
High Energy ◽  
High Energy Particle ◽  
Field Limit ◽  
Weak Field Limit ◽  
Point Light

The existence of braneworld black holes may be of primordial origin, or may even be produced in high energy particle collisions in the laboratory and in cosmic ray showers as well. These black holes obey a modified mass–radius relationship compared to standard Schwarzschild black holes. Using the variational principle we calculate the bending angle of a light ray near the horizon of a braneworld black hole in the weak field limit. We next derive the expressions of several lensing quantities like the Einstein radius and the magnification for a point light source. These expressions are modified compared to the lensing quantities for standard Schwarzschild black holes and contain the scale of the extra dimensions.

scholarly journals Effect of Multipole Moments in the Weak Field Limit of a Black Hole Plus Halo Potential

2021 ◽  
Vol 908 (1) ◽  
pp. 74
Author(s):  
Fredy L. Dubeibe ◽  
Tareq Saeed ◽  
Euaggelos E. Zotos
Keyword(s):  
Black Hole ◽  
Weak Field ◽  
Multipole Moments ◽  
Field Limit ◽  
Weak Field Limit

scholarly journals ENERGY DISTRIBUTION IN THE DYADOSPHERE OF A REISSNER–NORDSTRÖM BLACK HOLE IN MØLLER'S PRESCRIPTION

2006 ◽  
Vol 21 (25) ◽  
pp. 1947-1956 ◽  
Author(s):  
ELIAS C. VAGENAS
Keyword(s):  
Black Hole ◽  
Energy Distribution ◽  
Weak Field ◽  
Specific Form ◽  
Vacuum Fluctuations ◽  
Field Limit ◽  
Weak Field Limit ◽  
Momentum Distributions ◽  
Energy And Momentum ◽  
Momentum Complex

The energy and momentum distributions in the dyadosphere of a Reissner–Nordström black hole are evaluated. The Møller's energy-momentum complex is employed for this computation. The spacetime under study is modified due to the effects of vacuum fluctuations in the dyadosphere. Therefore, the corrected Reissner–Nordström black hole metric takes into account the first contribution of the weak field limit of one-loop QED. Furthermore, a comparison and a consequent connection between our results and those already existing in the literature is provided. We hypothesize that when the energy distribution is of specific form there is a relation that connects the coefficients in the Einstein's prescription with those in the Møller's prescription.

scholarly journals ENERGY DISTRIBUTION OF (2+1)-DIMENSIONAL BLACK HOLES WITH NONLINEAR ELECTRODYNAMICS

2009 ◽  
Vol 24 (34) ◽  
pp. 2777-2785 ◽  
Author(s):  
LEONARDO BALART
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Solution ◽  
Weak Field ◽  
Nonlinear Electrodynamics ◽  
Field Limit ◽  
Energy Distributions ◽  
Weak Field Limit ◽  
Dimensional Black Hole ◽  
Black Hole Solutions

The energy distributions for a black hole solution resulting from coupling electrodynamics and gravity in (2+1) dimensions are obtained. This solution considers the correction for a (2+1) static charged black hole from the first contribution of the weak field limit of one-loop QED in (2+1) dimensions. The Einstein and Møller energy–momentum prescriptions are used to evaluate the energy distributions associated with the mentioned (2+1)-dimensional black hole and other (2+1) black hole solutions coupled with nonlinear electrodynamics. A relation that connects the coefficients of both prescriptions is established.

scholarly journals Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Guansheng He ◽  
Xia Zhou ◽  
Zhongwen Feng ◽  
Xueling Mu ◽  
Hui Wang ◽  
...  
Keyword(s):  
Neutral Particle ◽  
Deflection Angle ◽  
Weak Field ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Field Limit ◽  
Weak Field Limit ◽  
Sitter Spacetime ◽  
Massive Particles ◽  
Gravitational Deflection

AbstractIn this paper, the gravitational deflection of a relativistic massive neutral particle in the Schwarzschild-de Sitter spacetime is studied via the Rindler–Ishak method in the weak-field limit. When the initial velocity $$v_0$$ v 0 of the particle tends to the speed of light, the result is consistent with that obtained in the previous work for the light-bending case. Our result is reduced to the Schwarzschild deflection angle of massive particles up to the second order, if the contributions from the cosmological constant $$\varLambda $$ Λ are dropped. The observable correctional effects due to the deviation of $$v_0$$ v 0 from light speed on the $$\varLambda $$ Λ -induced contributions to the deflection angle of light are also analyzed.

scholarly journals Second post-Minkowskian metric for a moving Kerr black hole

2014 ◽  
Vol 23 (09) ◽  
pp. 1450079 ◽  
Author(s):  
G. He ◽  
C. Jiang ◽  
W. Lin
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Gravitational Potential ◽  
Test Particle ◽  
Constant Velocity ◽  
Arbitrary Constant ◽  
Equations Of Motion ◽  
Kerr Black Hole ◽  
Time Dependent

In this paper, the harmonic metric for a moving Kerr black hole is presented in the second post-Minkowskian approximation. It is further demonstrated that the obtained metric is consistent with the Liénard–Wiechert gravitational potential for a moving and spinning source with an arbitrary constant velocity. Based on the metric, we also give the post-Newtonian equations of motion for photon and massive test particle in the time-dependent gravitational field.

scholarly journals A new nonlinear electrodynamics and electrically charged regular black holes

2021 ◽  
pp. 2150079
Author(s):  
Mohammad Bagher Jahani Poshteh ◽  
Nematollah Riazi
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Weak Field ◽  
Nonlinear Electrodynamics ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Field Limit ◽  
Weak Field Limit ◽  
Spherically Symmetric Solution ◽  
Electrically Charged

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from the black hole, in the weak field limit, the theory reduces to Maxwell Lagrangian with Heisenberg–Euler correction term of quantum electrodynamics. The singular center of the black hole is replaced by flat, de Sitter, or anti de Sitter space, if the spacetime in which the black hole is embedded is asymptotically flat, de Sitter, or anti de Sitter, respectively. Requiring the correspondence to Heisenberg–Euler Lagrangian at large distances, in the weak field limit, we find that (i) a minimum mass is required for the formation of an event horizon for the regular static, spherically symmetric solution of the theory, and, (ii) the mass of the solution must be quantized. We also study the basic thermodynamic properties of the black hole solution and show that they are qualitatively similar to those of Reissner–Nordström black hole.

GALACTIC AND ASTROPHYSICAL SIZES FROM SCALAR-TENSOR THEORY OF GRAVITY

2004 ◽  
Vol 13 (02) ◽  
pp. 359-371 ◽  
Author(s):  
GIUSEPPE BASINI ◽  
MARCO RICCI ◽  
FULVIO BONGIORNO ◽  
SALVATORE CAPOZZIELLO
Keyword(s):  
Scalar Field ◽  
Spiral Galaxies ◽  
Weak Field ◽  
Newtonian Potential ◽  
Scalar Tensor Theory ◽  
Field Limit ◽  
Weak Field Limit ◽  
Tensor Theory ◽  
Flat Rotation Curves ◽  
Theory Of Gravity

We investigate the weak-field limit of scalar-tensor theory of gravity and show that results are directly depending on the coupling and self-interaction potential of the scalar field. In particular, corrections are derived for the Newtonian potential. We discuss astrophysical applications of the results, in particular the flat rotation curves of spiral galaxies.

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