Alcubierre metric and gravitational waves

In summary, the conversation discussed the possibility of using the expansion and contraction of spacetime from a gravitational wave to create the required areas in the Alcubierre metric. However, it was pointed out that when the Alcubierre metric is plugged into the Einstein field equations, it violates energy conditions. Additionally, it was mentioned that if a metric with gravitational waves is proposed, it would not be the Alcubierre metric. The question was also raised about the consistency of the speed of propagation of gravitational waves and the expansion-contraction of the Alcubierre metric.
  • #1
gildomar
99
2
This may be a stupid question, but why can't the expansion/contraction of spacetime from a gravitational wave be used to create the areas of expansion/contraction required in the Alcubierre metric, instead of using regions of positive/negative energy density? I saw on the forums about the Alcubierre drive maybe producing gravitational waves as a consequence of it's operation, but not necessarily the other way around. Or has this already been addressed?
 
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  • #2
When you plug the Alcubierre metric into the Einstein field equations, you get a stress-energy tensor that violates various energy conditions (i.e., roughly speaking, negative mass-energy density is required).

If you want to propose some other metric with gravitational waves in it, then that will be some other metric, not the Alcubierre metric.
 
  • #3
Thanks for posting - my question was, if gravity waves propagate at the speed of light, how does the expansion-contraction of the Alcubierre metric travel faster? It seems they are not consistent with each other.
 

Related to Alcubierre metric and gravitational waves

1. What is the Alcubierre metric and how does it relate to gravitational waves?

The Alcubierre metric is a theoretical solution to Einstein's field equations in general relativity. It describes a hypothetical way to achieve faster-than-light travel by distorting the space-time fabric around a spacecraft. This metric is also closely related to the concept of gravitational waves, as it predicts the formation of these waves when space-time is distorted.

2. How was the Alcubierre metric first proposed?

The Alcubierre metric was first proposed in 1994 by physicist Miguel Alcubierre. He came up with the idea while trying to find a way to reconcile the laws of physics with the possibility of faster-than-light travel. The metric is based on the work of physicist Kip Thorne, who theorized that space-time could be distorted through the use of negative energy.

3. Is the Alcubierre metric a scientifically accepted concept?

While the Alcubierre metric is a mathematically sound solution to Einstein's field equations, it is still a theoretical concept and has not been proven to be physically possible. There are also several challenges and limitations to achieving the conditions required for this metric to work, such as the need for negative energy and the potential for causality violations.

4. How does the Alcubierre metric differ from other theories of faster-than-light travel?

Unlike other theories of faster-than-light travel, such as wormholes or warp drives, the Alcubierre metric does not rely on the manipulation of space-time by an external force. Instead, it proposes the creation of a "bubble" of distorted space-time around a spacecraft, allowing it to travel at superluminal speeds without violating the laws of physics.

5. What are some potential applications of the Alcubierre metric and gravitational waves?

If the Alcubierre metric is proven to be physically possible, it could have significant implications for space exploration and travel. It could potentially allow for faster and more efficient interstellar travel, as well as the detection and study of gravitational waves. The Alcubierre metric could also have applications in other areas of physics, such as the study of black holes and the early universe.

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