The essence of gravitational waves and energy

2015 ◽  
Vol 24 (12) ◽  
pp. 1543005 ◽  
Author(s):  
F. I. Cooperstock
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Essential Element ◽  
Cosmological Term ◽  
Field Equations ◽  
Essential Characteristic ◽  
Spacetime Curvature ◽  
Energy Aspect ◽  
Dual Character

In this paper, we discuss the essential element of gravity as spacetime curvature and a gravitational wave as the propagation of spacetime curvature. Electromagnetic waves are necessarily localized carriers of spacetime curvature and hence are also gravitational waves. Thus, electromagnetic waves have dual character and detection of gravitational waves is the routine of our everyday experience. Regarding the transferring energy from a gravitational wave to an apparatus, both Rosen and Bondi waves lack the essential characteristic of inducing a gradient of acceleration between detector elements. We discuss our simple invariant energy expression for general relativity and its extension. If the cosmological term is present in the field equations, its universal presence characteristic implies that gravitational waves would necessarily have an energy aspect in their propagation in every case.

Gravitational waves, energy and Feynman’s “sticky bead”

2015 ◽  
Vol 30 (27) ◽  
pp. 1550143 ◽  
Author(s):  
F. I. Cooperstock
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Vacuum Energy ◽  
Cosmological Term ◽  
Speed Of Light ◽  
Field Equations ◽  
Energy Expression ◽  
Energy Issue ◽  
Spacetime Curvature

It is noted that in the broader sense, gravitational waves viewed as spacetime curvature which necessarily accompanies electromagnetic waves at the speed of light, are the routine perception of our everyday experience. We focus on the energy issue and Feynman’s “sticky bead” argument which has been regarded as central in supporting the conclusion that gravitational waves carry energy through the vacuum in general relativity. We discuss the essential neglected aspects of his approach which leads to the conclusion that gravitational waves would not cause Feynman’s bead to heat the stick on which it would supposedly rub. This opens the way to an examination of the entire issue of energy in general relativity. We briefly discuss our naturally-defined totally invariant spacetime energy expression for general relativity incorporating the contribution from gravity. When the cosmological term is included in the field equations, our energy expression includes the vacuum energy as required.

scholarly journals An Analysis of Gravitational waves

2021 ◽  
Author(s):  
Vaibhav Kalvakota
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Mathematical Structure ◽  
Gauge Condition ◽  
Field Tensor ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Minkowski Metric ◽  
Wave Detector ◽  
The Masses

The September 14, 2015 gravitational wave observations showed the inspiral of two black holes observed from Hanford and Livingston LIGO observatories. This detection was significant for two reasons: firstly, it coupled the result and avoided the possibility of a false alarm by 5σ , meaning that the detected “noise” was indeed from an astronomical source of gravitational waves. We will discuss the primary landscape of gravitational waves, their mathematical structure and how they can be used to predict the masses of the merger system. We will also discuss gravitational wave detector optimisations, and then we will consider the results from the detected merger GW150914. We will consider a straight-forward mathematical approach, and we will primarily be interested in the mathematical modelling of gravitational waves from General Relativity (Section 1). We will first consider a “perturbed” Minkowski metric, and then we will discuss the properties of the perturbation addition tensor. We will then discuss on the gravitational field tensor, and how it arises from the perturbation tensor. We will then talk about the gauge condition, essentially the gauge “freedom” , and then we will talk about the curvature tensor, leading eventually to the effect of gravitational waves on a ring of particles. We will consider the polarisation tensor, which maps the amplitude and polarisation details. The polarisation splits into plus polarised and cross polarised waves, which is technically the effect of a propagating gravitational wave through a ring of particles. We will then talk about the linearized Einstein Field Equations, and how the physical system of merger is encoded into the mathematical structural unity of the metric. We will then talk about the detection of these gravitational waves and how the detector can be optimised, or how the detector can be set so that any “noise” detected can fall in the error margins, and how the detector can prevent the interferometric “photon-noise” from being detected (Section 2.2). Then, we will discuss data results from the source GW150914 detection by LIGO (Section 3).

scholarly journals TRAPPING OF NONLINEAR GRAVITATIONAL WAVES BY TWO-FLUID SYSTEMS

2009 ◽  
Vol 24 (34) ◽  
pp. 2761-2768 ◽  
Author(s):  
MERAB GOGBERASHVILI ◽  
RAMAZ KHOMERIKI
Keyword(s):  
Energy Transfer ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Wave Amplitude ◽  
Vacuum Energy ◽  
Matter Wave ◽  
Stiff Matter ◽  
Fluid Systems ◽  
Two Fluid

We show that the coupled two-fluid gravitating system (e.g. stiff matter and "vacuum energy") could trap nonlinear gravitational waves (e.g. Einstein–Rosen waves). The gravitational wave amplitude varies harmonically in time transferring the energy coherently to the stiff matter wave, and then the process goes to the backward direction. This process mimics the behavior of trapped electromagnetic waves in two-level media. We have defined the limits for the frequency of this energy transfer oscillations.

Explanation of the Quantum-Mechanical Particle-Wave Duality through the Emission of Watt-Less Gravitational Waves by the Dirac Equation

2016 ◽  
Vol 71 (1) ◽  
pp. 53-57 ◽  
Author(s):  
Friedwardt Winterberg
Keyword(s):  
Gravitational Field ◽  
Dirac Equation ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Negative Energy ◽  
Quantum Mechanical ◽  
Field Equations ◽  
Negative Mass ◽  
Pilot Wave ◽  
Extended Theories Of Gravity

AbstractAn explanation of the quantum-mechanical particle-wave duality is given by the watt-less emission of gravitational waves from a particle described by the Dirac equation. This explanation is possible through the existence of negative energy, and hence negative mass solutions of Einstein’s gravitational field equations. They permit to understand the Dirac equation as the equation for a gravitationally bound positive–negative mass (pole–dipole particle) two-body configuration, with the mass of the Dirac particle equal to the positive mass of the gravitational field binding the positive with the negative mass particle, and with the mass particles making a luminal “Zitterbewegung” (quivering motion), emitting a watt-less oscillating positive–negative space curvature wave. It is shown that this thusly produced “Zitterbewegung” reproduces the quantum potential of the Madelung-transformed Schrödinger equation. The watt-less gravitational wave emitted by the quivering particles is conjectured to be de Broglie’s pilot wave. The hypothesised connection of the Dirac equation to gravitational wave physics could, with the failure to detect gravitational waves by the LIGO antennas and pulsar timing arrays, give a clue to extended theories of gravity, or a correction of astrophysical models for the generation of such waves.

scholarly journals Observation of gravitational waves by light polarization

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Chan Park ◽  
Dong-Hoon Kim
Keyword(s):  
General Relativity ◽  
Perturbation Theory ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Geometrical Optics ◽  
Light Polarization ◽  
Stokes Parameters ◽  
Phase Amplitude

AbstractWe provide analysis to determine the effects of gravitational waves on electromagnetic waves, using perturbation theory in general relativity. Our analysis is performed in a completely covariant manner without invoking any coordinates. For a given observer, using the geometrical-optics approach, we work out the perturbations of the phase, amplitude, frequency and polarization properties–axes of ellipse and ellipticity of light, due to gravitational waves. With regard to the observation of gravitational waves, we discuss the measurement of Stokes parameters, through which the antenna patterns are presented to show the detectability of the gravitational wave signals.

Electrodynamics effects on colliding gravitational waves background

2020 ◽  
Vol 35 (18) ◽  
pp. 2050150
Author(s):  
Dong-Dong Wei ◽  
Xin-He Meng ◽  
Bin Wang
Keyword(s):  
Magnetic Field ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Linear Polarization ◽  
Electromagnetic Waves ◽  
Weak Magnetic Field ◽  
Collision Process ◽  
Plane Gravitational Wave ◽  
Colliding Gravitational Waves ◽  
Plane Gravitational Waves

The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, within the interaction region, the solution is Schwarzschild-like metric, which impels us to be more interesting to analyze the collision process. In this paper, we have considered the electrodynamics effects on the colliding gravitational waves background. Moreover, we have calculated explicitly out the solutions of the electromagnetic waves produced by the plane gravitational wave and the colliding region of plane gravitational waves perturbing a weak magnetic field background. We also work out the solutions of these electromagnetic waves after crossing out a weak magnetic field background.

scholarly journals Gravitational waves — A review on the theoretical foundations of gravitational radiation

2018 ◽  
Vol 33 (14n15) ◽  
pp. 1830013 ◽  
Author(s):  
Alain Dirkes
Keyword(s):  
General Relativity ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Gravitational Radiation ◽  
Wave Zone ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Radiative Losses ◽  
Zone Field ◽  
Theoretical Foundations

In this paper, we review the theoretical foundations of gravitational waves in the framework of Albert Einstein’s theory of general relativity. Following Einstein’s early efforts, we first derive the linearized Einstein field equations and work out the corresponding gravitational wave equation. Moreover, we present the gravitational potentials in the far away wave zone field point approximation obtained from the relaxed Einstein field equations. We close this review by taking a closer look on the radiative losses of gravitating [Formula: see text]-body systems and present some aspects of the current interferometric gravitational waves detectors. Each section has a separate appendix contribution where further computational details are displayed. To conclude, we summarize the main results and present a brief outlook in terms of current ongoing efforts to build a spaced-based gravitational wave observatory.

scholarly journals Effects of gravitational waves on the polarization of pulsars

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641023 ◽  
Author(s):  
Shahen Hacyan
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Stokes Parameters ◽  
Polarization Angle ◽  
Stochastic Background ◽  
Pulsar Timing

The polarization of electromagnetic waves in the presence of a gravitational wave is analyzed. The rotation of the polarization angle and the Stokes parameters are deduced. A possible application to the detection of stochastic background of gravitational waves is proposed as a complement to the pulsar timing method.

Gravitational quanta and unification

2017 ◽  
Vol 26 (12) ◽  
pp. 1743029 ◽  
Author(s):  
F. I. Cooperstock
Keyword(s):  
Gravitational Waves ◽  
Particle Physics ◽  
Ricci Tensor ◽  
Electromagnetic Waves ◽  
Essential Role ◽  
Gravitational Interaction ◽  
Spacetime Curvature ◽  
Quantization Of Gravity ◽  
Physics Model ◽  
Present Particle

A major issue that has challenged physics is the goal of bringing gravity into a complete unification of the interactions and the quantization of gravity. We build upon the appreciation that electromagnetic waves are also gravitational waves because they transport local spacetime curvature. Logical steps lead us to appreciate the totality of the traditional quantized particles in nature as gravitational quanta. Thus, our present particle physics model is seen to be unified with the gravitational interaction. Whether there remains a scope for the existence of a spin-2 graviton in vacuum is brought into question by our invariant energy construct centered upon the Ricci tensor. We suggest that this construct holds the key to ultra-strong gravity’s essential role in quantization.

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.

Sign in / Sign up

Export Citation Format

Share Document