Purchase Solution

Gravitational waves: Computing full metric

Not what you're looking for?

Ask Custom Question

Write down the full metric (flat metric plus the perturbation) which represents a sinusoidal wave of frequency 200Hz traveling in the z direction with the cross polarization. The maximum strain of 10^-21 occurs when t=0.

Purchase this Solution
Solution Summary

A computation of the full metric and perturbation, resulting in a specific type of gravitational wave.

Solution Preview

The full metric in the most generic case of gravitational perturbation is:
(see attached file)
Where the traceless tensor (see attached file) is known as the strain tensor. (see attached file) is the lat background metric and (see attached file) is the perturbation. In the transverse gauge:
(see attached file)
and in weak fieid approximation where we keep time derivatives in Einstein's equations but
put (See attached file) and working in transverse traceless gauge in which
(see attached file)

Thus the full metric (1) reduces to:
(see attached file)

We can write the strain tensor as:
(see attached ...

Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Time Elapsed on a Clock

    124837 Time Elapsed on a Clock See attached file for full problem description. A good approximation to the metric outside the surface of the Earth is provided. It may be thought of as the familiar Newtonian gravitational potential.

  • Distance Comparisons of Planets and Stars

    When a gravitational disturbance occurs, how fast does the ripple in space-time travel in empty space? Gravitational waves are assumed to be moving in the fastest velocity allowed by the laws of physics: The speed of light.

  • Basic Physics of Mass, Heat, Balance Equations, Waves and pH

    567347 Basic Physics of Mass, Heat, Balance Equations, Waves and pH 1. If an object has a mass of 1.0 Kg, what is it's weight on Jupiter with 2.5 times the gravitational force as on earth? 2.

  • Universal Gravitational Constant G

    The solution offers a quick, simple method of computing the gravitational force between the sun and the planet Uranus when given their masses and Uranus' orbital radius.

  • Description of Star Characteristics

    117585 Description of Star Characteristics Here is what I would like some comments on: brief overview of the nature and importance of light and other electromagnetic waves.

  • Gravitational time dilation

    In this problem, we can use that for weak gravitational fields the metric only slightly deviates from the Lorentzian metric, according to: ds^2 = (1 + 2 V) dt^2 - (dx^2 + dy^2 + dz^2) where V is the gravitational potential (denoted as phi in

  • Metric Tensors and Christoffel Symbols

    The solution to Problem 2 involves computing the Christoffel symbols by using the formula found in Problem 1. Most, but not all the Christoffel symbols in Problem 2(b) are computed.

  • Conceptual physics newtons law of force

    G = "Gravitational Force Constant" The Gravitational Force Constant The force constant, G, is a number which gives the size of the gravitational coupling between two massive objects.

  • Collisions in the Formation and Evolution of Galaxies

    For example, new waves of star formations are created, supernovas are created, and stellar collapses that form the black holes or super massive black holes within active galaxies occur.

View More Related Solutions