# Gravitoelectromagnetic force

In summary, the conversation discusses the two force equations found in the Wikipedia page on Gravitoelectromagnetism. One equation is for the conventional Lorentz force, while the other is for the gravitoelectromagnetic force. The main difference between the two equations is the exchange of mass and charge. However, the symbols and units have also changed, as explained in the article. The discussion also clarifies that E_g refers to the static gravitational field or acceleration due to static gravity.

## Homework Statement

There are two force equations in this wiki page: http://en.wikipedia.org/wiki/Gravitoelectromagnetism

## The Attempt at a Solution

The conventional Lorentz force is

$$F = q(E + v \times B)$$

It says that the gravielectromagnetic force equation:

$$F = m(E_g + v \times B_g)$$

Is it's gravitational analogue. Yet, the only difference between the equations is that mass and charge have been exchanged.

How can the dimensions be right in the second equation?

Thank you!

Yet, the only difference between the equations is that mass and charge have been exchanged.

No, that's not the only difference. The other symbols have changed, too. What are their units?

what is $$E_g$$?

I take it then, it's not simply the electric field?

It's not. The article explains that down to the units involved. Give it another try, just do it carefully :)

Ah it says it is the gravielectric field even. Sorry about that. So what is E_g written out?

As the article says, it's just the static gravitational field, acceleration due to static gravity (i.e., independent of any accelerated motion).

## 1. What is the Gravitoelectromagnetic force?

The Gravitoelectromagnetic force, also known as the GEM force, is a hypothetical force that is predicted by some theories of gravity. It is a combination of both gravity and electromagnetism and is thought to affect the motion of charged particles in the presence of a massive rotating body, such as a planet or star.

## 2. How is the Gravitoelectromagnetic force different from gravity?

The Gravitoelectromagnetic force is different from gravity in that it includes both gravitational and electromagnetic components, whereas gravity only includes the gravitational component. Additionally, the Gravitoelectromagnetic force is thought to have a much weaker effect compared to gravity and is only significant in extreme conditions, such as near a rapidly rotating black hole.

## 3. What is the evidence for the existence of the Gravitoelectromagnetic force?

Currently, there is no direct evidence for the Gravitoelectromagnetic force, as it is still a theoretical concept. However, some observed phenomena, such as the bending of light around massive rotating objects, are consistent with predictions made by the GEM force.

## 4. How does the Gravitoelectromagnetic force affect space and time?

The Gravitoelectromagnetic force is thought to create ripples in space-time, similar to how gravity does. However, these ripples would have a different pattern and would be much weaker compared to those created by gravity. The GEM force also has the potential to affect the rotation of space-time, which could have implications for the behavior of matter and energy.

## 5. How does the Gravitoelectromagnetic force impact our understanding of the universe?

If the Gravitoelectromagnetic force is proven to exist, it could have significant implications for our understanding of the universe and the laws of physics. It could potentially help bridge the gap between the theories of gravity and electromagnetism and lead to a more complete understanding of the fundamental forces of nature. It could also provide new insights into the behavior of matter and energy in extreme environments, such as black holes.