scholarly journals PHENOMENOLOGY FOR AN EXTRA DIMENSION FROM GRAVITATIONAL WAVES PROPAGATION ON A KALUZA–KLEIN SPACE–TIME

2005 ◽  
Vol 14 (01) ◽  
pp. 1-21 ◽  
Author(s):  
EMANUELE ALESCI ◽  
GIOVANNI MONTANI
Keyword(s):  
Gravitational Waves ◽  
Extra Dimension ◽  
Electromagnetic Waves ◽  
Degrees Of Freedom ◽  
Background Field ◽  
Space Time ◽  
Tensor Fields ◽  
Dynamical Degree ◽  
The Waves ◽  
Kaluza Klein

In the present work we analyze the behavior of 5-dimensional (5-d) gravitational waves propagating on a Kaluza–Klein background. We face separately the two cases in which the waves are generated before and after the process of dimensional compactification respectively. We show that if the waves are originated on a 5-d space–time which fulfills the principle of general relativity, then the process of compactification cannot reduce the dynamics to the pure 4-d scalar, vector and tensor degrees of freedom. In particular, while the electromagnetic waves evolve independently, the scalar and tensor fields couple to each other; this feature appears because when the gauge conditions are split, the presence of the scalar ripple prevents the 4-d gravitational waves from becoming traceless. The phenomenological issue of this scheme consists of an anomalous relative amplitude of the two independent polarizations which characterize the 4-d gravitational waves. Such profile of polarization amplitudes, if detected, would outline the extra dimension in a very reliable way, because a wave with non-zero trace cannot arise from ordinary matter sources. We discuss the above mentioned phenomenon either in the case of a unit constant value of the background scalar component (when the geodesic deviation is treated with precise outputs), or assuming such background field as a dynamical degree. Only qualitative conclusion are provided here, because the details of the polarization amplitudes depend on the choice of specific metric forms. Finally, we perturb a real Kaluza–Klein theory showing that in this context, while the electromagnetic waves propagate independently, the 4-d gravitational waves preserve their ordinary structure, while the scalar plays for the role of source.

scholarly journals CAN GRAVITATIONAL WAVES BE MARKERS FOR AN EXTRA-DIMENSION?

2005 ◽  
Vol 14 (06) ◽  
pp. 923-931 ◽  
Author(s):  
EMANUELE ALESCI ◽  
GIOVANNI MONTANI
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Laboratory Investigation ◽  
Extra Dimension ◽  
Degrees Of Freedom ◽  
High Energy ◽  
Main Issue ◽  
Wave Experiment ◽  
Anomalous Polarization ◽  
Kaluza Klein

The main issue of the present paper is to fix specific features (which turn out being independent of extradimension size) of gravitational waves generated before a dimensional compactification process. Valuable is the possibility to detect our prediction from gravitational wave experiment without high energy laboratory investigation. In particular we show how gravitational waves can bring information on the number of Universe dimensions. Within the framework of Kaluza–Klein hypotheses, a different morphology arises between waves generated before than the compactification process settled down and ordinary 4-dimensional waves. In the former case the scalar and tensor degrees of freedom cannot be resolved. As a consequence if gravitational waves having the feature predicted here were detected (anomalous polarization amplitudes), then they would be reliable markers for the existence of an extra dimension.

scholarly journals THE EFFECTIVE POTENTIAL AND ADDITIONAL LARGE RADIUS COMPACTIFIED SPACE–TIME DIMENSIONS

2000 ◽  
Vol 15 (31) ◽  
pp. 4933-4942
Author(s):  
T. E. CLARK ◽  
S. T. LOVE
Keyword(s):  
Boundary Condition ◽  
Effective Potential ◽  
Extra Dimension ◽  
Space Time ◽  
Coupling Constants ◽  
Large Radius ◽  
Potential Minimum ◽  
Extra Space ◽  
Kaluza Klein ◽  
Compactified Space

The consequences of large radius extra space–time compactified dimensions on the four-dimensional one-loop effective potential are investigated for a model which includes scalar self interactions and Yukawa coupling to fermions. The Kaluza–Klein tower of states associated with the extra compact dimensions shifts the location of the effective potential minimum and modifies its curvature. The dependence of these effects on the radius of the extra dimension is illustrated for various choices of coupling constants and masses. For large radii, the consequence of twisting the fermion boundary condition on the compactified dimensions is numerically found to produce but a negligible effect on the effective potential.

GENERALIZED BELINSKY–RUFFINI GEOMETRY

1991 ◽  
Vol 06 (24) ◽  
pp. 2189-2195
Author(s):  
AMIR LEVINSON ◽  
AHARON DAVIDSON
Keyword(s):  
Electric Charge ◽  
Magnetic Moment ◽  
Extra Dimension ◽  
Space Time ◽  
Einstein Equations ◽  
Axially Symmetric ◽  
Relativistic Limit ◽  
Kaluza Klein

Stationary, axially symmetric solutions of Einstein equations in a free 5-dimensional Kaluza–Klein space-time are derived. The electric charge and magnetic moment are generated by a fictitious boost involving the extra dimension. The associated gyromagnetic factor tends to unity at the ultra-relativistic limit. The solution derived interpolates between the Kerr and the Belinsky–Ruffini solutions.

A NEW APPROACH FOR SPACE-TIME-MATTER THEORY

2013 ◽  
Vol 10 (04) ◽  
pp. 1350004 ◽  
Author(s):  
AUREL BEJANCU
Keyword(s):  
Tensor Field ◽  
Differential Operators ◽  
Space Time ◽  
Horizontal Gradient ◽  
Tensor Fields ◽  
Tensor Calculus ◽  
New Approach ◽  
Horizontal Connection ◽  
Klein Theory ◽  
Kaluza Klein

This is the first paper in a series of three papers on a new approach for space-time-matter (STM) theory. The main purpose of this approach is to replace the Levi-Civita connection on the space-time from the classical Kaluza–Klein theory by what we call the Riemannian horizontal connection on the general Kaluza–Klein space. This is done by a development of a 4D tensor calculus whose geometrical objects live in a 5D space. The 4D tensor calculus and the Riemannian horizontal connection enable us to define in a 5D space some 4D differential operators: horizontal differential, horizontal gradient, horizontal divergence and horizontal Laplacian, which have a great role in the presentation of the STM theory in a covariant form. Finally, we introduce and study the horizontal electromagnetic tensor field, the horizontal Ricci tensor and the horizontal Einstein gravitational tensor field, which replace the well-known tensor fields from the classical Kaluza–Klein theory.

scholarly journals Quanton Fields: Evolution and Degrees of Freedom

2021 ◽  
Author(s):  
AYMAN KASSEM MOHAMMED
Keyword(s):  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Degrees Of Freedom ◽  
Space Time ◽  
The Third ◽  
Space And Time ◽  
The Subject ◽  
Physical Phenomena

The concept of space time had been the subject of debate for so long, here another version will be discussed in the form of space and time fields where a new concept of energy constraining can explain the interactions between those fields. This model comes in three parts : energy constraining , where the evolution of the quanton and its different transitions are discussed, the second part , energy fields, their degrees of freedom and the third part electromagnetic waves as relativistic quantons and the generic form of Maxwell equations in terms of space and time fields. This work shows that the origin many of the physical phenomena can be traced back to the quanton based world .

Action for the Maxwell–Einstein multiplet from nine-dimensional superspace

1988 ◽  
Vol 66 (9) ◽  
pp. 757-763 ◽  
Author(s):  
Zhou Xiaoan
Keyword(s):  
Extra Dimension ◽  
Degrees Of Freedom ◽  
Dirac Spinor ◽  
Four Dimensions ◽  
Dimensional Spacetime ◽  
Minimal Supergravity ◽  
Starting Point ◽  
Special Case ◽  
Hilbert Action ◽  
Kaluza Klein

The starting point is the Einstein–Hilbert action in nine-dimensional superspace. A special Dirac spinor with only half the degrees of freedom is defined in five-dimensional spacetime. The massless Kaluza–Klein ansatz is used in the dimensional reduction. After this reduction to four dimensions, the action contains a (minimal) supergravity multiplet, a Maxwell multiplet, and a scalar, which corresponds to the oscillation around the extra dimension. The locally supersymmetric (off-mass shell) Maxwell-Einstein action is obtained as a special case of the vanishing oscillation around the extra dimension.

4. Gravitational waves

2017 ◽  
pp. 46-57
Author(s):  
Timothy Clifton
Keyword(s):  
Gravitational Field ◽  
Neutron Stars ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Laser Interferometer ◽  
Space Time ◽  
Binary Pulsar ◽  
Set Up ◽  
The Waves

As stars collapse they eject huge amounts of mass and energy; their gravitational field changes rapidly and, therefore, so does the curvature of the space-time around them. If the curvature of space-time is pushed out of equilibrium, by the motion of mass or energy, this disturbance travels outwards as waves. ‘Gravitational waves’ explains the effect of a gravitational wave: in a binary pulsar, the waves carry energy away from the system so that the two neutron stars slowly circle in towards each other. Gravitational waves were first detected in 2015 by the Laser Interferometer Gravitational-Wave Observatory in America. There are also plans to set up a detector in space.

scholarly journals COLLISION OF HIGH FREQUENCY PLANE GRAVITATIONAL AND ELECTROMAGNETIC WAVES

2003 ◽  
Vol 12 (08) ◽  
pp. 1459-1473 ◽  
Author(s):  
P. A. HOGAN ◽  
D. M. WALSH
Keyword(s):  
Gravitational Waves ◽  
High Frequency ◽  
Electromagnetic Waves ◽  
Degrees Of Freedom ◽  
Geometrical Optics ◽  
Field Equations ◽  
Maxwell Theory ◽  
Polarized Waves ◽  
Linearly Polarized ◽  
Plane Gravitational Waves

We study the head-on collision of linearly polarized, high frequency plane gravitational waves and their electromagnetic counterparts in the Einstein–Maxwell theory. The post-collision space-times are obtained by solving the vacuum Einstein and Einstein–Maxwell field equations in the geometrical optics approximation. The head-on collisions of all possible pairs of these systems of waves is described and the results are then generalized to nonlinearly polarized waves which exhibit the maximum two degrees of freedom of polarization.

scholarly journals Non-linear plane gravitational waves as space-time defects

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
F. L. Carneiro ◽  
S. C. Ulhoa ◽  
J. W. Maluf ◽  
J. F. da Rocha-Neto
Keyword(s):  
Gravitational Waves ◽  
Present Article ◽  
Space Time ◽  
Atomic Scale ◽  
Burgers Vector ◽  
Non Linear ◽  
The Waves ◽  
Continuum Systems ◽  
Plane Gravitational Waves

AbstractWe consider non-linear plane gravitational waves as propagating space-time defects, and construct the Burgers vector of the waves. In the context of classical continuum systems, the Burgers vector is a measure of the deformation of the medium, and at a microscopic (atomic) scale, it is a naturally quantized object. One purpose of the present article is ultimately to probe an alternative way on how to quantize plane gravitational waves.

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