scholarly journals The Metric of Space-Time Curvature in a Weak Gravitational Field and it’s Consequence in Newtonian Approximation

2020 ◽  
pp. 87-92
Keyword(s):  
Gravitational Field ◽  
Dimensional Space ◽  
Empty Space ◽  
Field Approximation ◽  
Weak Field ◽  
Newtonian Mechanics ◽  
Perfect Field ◽  
Weak Gravitational Field ◽  
Weak Field Approximation ◽  
Potential Tensor

In Newtonian mechanics, space and time are separate but in General, Relativity is unified. It is considered that the space in the weak-field approximation is quasi-static and it arises from a perfect field whose particles have very small velocity in comparison to light velocity in this coordinate system and the metric is a gravitational potential tensor of rank two which implies the field of empty space. If each point of an area in N-dimensional space there existed a corresponding definite tensor, where the components of the tensor are the function of space and space acts as the strong or weak gravitational field.

scholarly journals Gravitational Paramagnetism, Diamagnetism and Gravitational Superconductivity

1996 ◽  
Vol 49 (6) ◽  
pp. 1063 ◽  
Author(s):  
M Agop ◽  
C Gh Buzea ◽  
V Griga ◽  
C Ciubotariu ◽  
C Buzea ◽  
...  
Keyword(s):  
Gravitational Field ◽  
Meissner Effect ◽  
Field Approximation ◽  
Weak Field ◽  
Gauge Model ◽  
Closed Geodesics ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Weak Field Approximation ◽  
Superconducting Parameters

In the weak field approximation to the gravitational field equations, we study gravitational paramagnetism and diamagnetism, the gravitational Meissner effect and gravitational superconductivity. The spontaneous symmetry breaking corresponds to crossing from closed geodesics to open ones, and to the existence of a critical temperature in the frame of a gauge model at finite temperature. In this later case one can obtain expressions giving the dependence of several superconducting parameters on temperature.

scholarly journals Quasi-uniform gravitational field of a disk revisited

2019 ◽  
Vol 34 (33) ◽  
pp. 1950228
Author(s):  
Alexander J. Silenko ◽  
Yury A. Tsalkou
Keyword(s):  
Gravitational Field ◽  
Equivalence Principle ◽  
Equations Of Motion ◽  
Field Approximation ◽  
Weak Field ◽  
Riemann Tensor ◽  
Weak Field Approximation

We calculate the quasi-uniform gravitational field of a disk in the weak-field approximation and demonstrate an inappropriateness of preceding results. The Riemann tensor of this field is determined. The nonexistence of the uniform gravitational field is proven without the use of the weak-field approximation. The previously found difference between equations of motion for the momentum and spin in the accelerated frame and in the quasi-uniform gravitational field also takes place for the disk. However, it does not violate the Einstein equivalence principle because of the nonexistence of the uniform gravitational field.

scholarly journals An Experiment to Test the Gravitational Aharonov-Bohm Effect

1994 ◽  
Vol 47 (3) ◽  
pp. 245 ◽  
Author(s):  
Vu B Ho ◽  
Michael J Morgan
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Quantum Interference ◽  
Field Approximation ◽  
Weak Field ◽  
Matter Wave ◽  
Interference Effects ◽  
Weak Field Approximation ◽  
Bohm Effect ◽  
Aharonov Bohm

The gravitational Aharonov-Bohm (AB) effect is examined in the weak-field approximation to general relativity. In analogy with the electromagnetic AB effect, we find that a gravitoelectromagnetic 4-vector potential gives rise to interference effects. A matter wave interferometry experiment, based on a modification of the gravity-induced quantum interference experiment of Colella, Overhauser and Werner (COW), is proposed to explicitly test the gravitoelectric version of the AB effect in a uniform gravitational field.

GRAVITATIONAL FIELD OF STATIC THIN PLANAR WALLS IN WEAK-FIELD APPROXIMATION

2003 ◽  
Vol 12 (08) ◽  
pp. 1385-1397 ◽  
Author(s):  
L. CAMPANELLI ◽  
P. CEA ◽  
G. L. FOGLI ◽  
L. TEDESCO
Keyword(s):  
Gravitational Field ◽  
Field Approximation ◽  
Weak Field ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Weak Field Approximation ◽  
Planar Wall

We investigate gravitational properties of thin planar wall solutions of the Einstein's equations in the weak field approximation. We find the general metric solutions and discuss the behavior of a particle placed initially at rest to one side of the plane. Moreover we study the case of non-reflection-symmetric solutions.

The Einstein–Maxwell-particle system in the York canonical basis of ADM tetrad gravity. Part 2. The weak field approximation in the 3-orthogonal gauges and Hamiltonian post-minkowskian gravity: the N-body problem and gravitational waves with asymptotic background 1This paper is one of three companion papers published in the same issue of Can. J. Phys.

2012 ◽  
Vol 90 (11) ◽  
pp. 1077-1130 ◽  
Author(s):  
David Alba ◽  
Luca Lusanna
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Waves ◽  
Particle System ◽  
Canonical Basis ◽  
Field Approximation ◽  
Weak Field ◽  
N Body Problem ◽  
Hamilton Equations ◽  
Weak Field Approximation ◽  
Tetrad Gravity

In this second paper we define a post-minkowskian (PM) weak field approximation leading to a linearization of the Hamilton equations of Arnowitt–Deser–Misner (ADM) tetrad gravity in the York canonical basis in a family of nonharmonic 3-orthogonal Schwinger time gauges. The York time 3K (the relativistic inertial gauge variable, not existing in newtonian gravity, parametrizing the family, and connected to the freedom in clock synchronization, i.e., to the definition of the the shape of the instantaneous 3-spaces) is set equal to an arbitrary numerical function. The matter are considered point particles, with a Grassmann regularization of self-energies, and the electromagnetic field in the radiation gauge: an ultraviolet cutoff allows a consistent linearization, which is shown to be the lowest order of a hamiltonian PM expansion. We solve the constraints and the Hamilton equations for the tidal variables and we find PM gravitational waves with asymptotic background (and the correct quadrupole emission formula) propagating on dynamically determined non-euclidean 3-spaces. The conserved ADM energy and the Grassmann regularization of self-energies imply the correct energy balance. A generalized transverse–traceless gauge can be identified and the main tools for the detection of gravitational waves are reproduced in these nonharmonic gauges. In conclusion, we get a PM solution for the gravitational field and we identify a class of PM Einstein space–times, which will be studied in more detail in a third paper together with the PM equations of motion for the particles and their post-newtonian expansion (but in the absence of the electromagnetic field). Finally we make a discussion on the gauge problem in general relativity to understand which type of experimental observations may lead to a preferred choice for the inertial gauge variable 3K in PM space–times. In the third paper we will show that this choice is connected with the problem of dark matter.

QUANTUM FIELDS WITH MODIFIED DISPERSION RELATIONS IN CURVED SPACES

2011 ◽  
Vol 20 (05) ◽  
pp. 745-756 ◽  
Author(s):  
FRANCISCO DIEGO MAZZITELLI
Keyword(s):  
Vector Field ◽  
General Structure ◽  
Scalar Fields ◽  
Field Approximation ◽  
Weak Field ◽  
Dispersion Relations ◽  
Quantum Fields ◽  
Renormalization Procedure ◽  
Modified Dispersion Relations ◽  
Weak Field Approximation

We discuss the renormalization procedure for quantum scalar fields with modified dispersion relations in curved spacetimes. We consider two different ways of introducing modified dispersion relations: through the interaction with a dynamical temporal vector field, as in the context of the Einstein–Aether theory, and breaking explicitly the covariance of the theory, as in Hǒrava–Lifshitz gravity. Working in the weak field approximation, we show that the general structure of the counterterms depends on the UV behavior of the dispersion relations and on the mechanism chosen to introduce them.

GRAVITATIONAL FARADAY EFFECT INDUCED BY HIGH-POWER LASERS

2005 ◽  
Vol 20 (08) ◽  
pp. 597-603 ◽  
Author(s):  
PEIYONG JI ◽  
HUA ZHOU ◽  
H. Q. LU
Keyword(s):  
Electromagnetic Wave ◽  
Gravitational Field ◽  
High Power ◽  
Faraday Effect ◽  
Rotation Angle ◽  
Einstein Field Equation ◽  
Polarization Plane ◽  
Field Approximation ◽  
Weak Field ◽  
Power Laser

Gravitational field produced by high-power laser is calculated according to the linearized Einstein field equation in weak field approximation. Gravitational Faraday effect of electromagnetic wave propagating in the above gravitational field is studied and the rotation angle of polarization plane of electromagnetic wave is derived. The result is discussed and estimated in the condition of present experimental facility.

scholarly journals Spectral Action Beyond the Weak-Field Approximation

2012 ◽  
Vol 316 (3) ◽  
pp. 595-613 ◽  
Author(s):  
B. Iochum ◽  
C. Levy ◽  
D. Vassilevich
Keyword(s):  
Field Approximation ◽  
Weak Field ◽  
Spectral Action ◽  
Weak Field Approximation
Sign in / Sign up

Export Citation Format

Share Document