Null Energy Condition: What Is It?

In summary, the null energy condition is a mathematical condition that states that for a perfect fluid, the sum of its energy density and pressure must be greater than or equal to zero. This condition can be violated by a perfect fluid with a positive energy density, which is equivalent to a violation of the dominant energy condition and can lead to faster-than-light effects.
  • #1
touqra
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What is null energy condition?
I'm not sure whether this is the right forum to post but I come across this word when reading article about wormholes.
 
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  • #2
The null energy condition means that:

[tex]T_{\mu \nu} A^{\mu} A^{\nu} \geq 0[/tex]

With A a null vector. For a perfect fluid, it can be proven that this implies:

[tex]\rho + p \geq 0[/tex]

I think that for [tex]\inline{\rho > 0}[/tex], the violation of the NEC is equivalent to a violation of the DEC (dominant energy condition). A perfect fluid that violates the DEC has faster than light effects, see https://www.physicsforums.com/showthread.php?t=78361
 

1. What is the Null Energy Condition (NEC)?

The Null Energy Condition (NEC) is a theoretical concept in physics that states that the energy density at any point in space-time cannot be negative. In other words, the total energy of any system cannot be less than zero.

2. How does the Null Energy Condition relate to general relativity?

The Null Energy Condition is one of the four energy conditions that are used in general relativity to describe the properties of matter and energy in the universe. It is often used in conjunction with the Strong Energy Condition to make predictions about the behavior of space-time in different scenarios.

3. Why is the Null Energy Condition important in theoretical physics?

The Null Energy Condition is important in theoretical physics because it helps to define the boundaries of what is physically possible in our universe. It sets limits on the types of matter and energy that can exist and helps us understand the fundamental laws of physics.

4. Can the Null Energy Condition be violated?

According to current theories and observations, the Null Energy Condition cannot be violated. However, some theories, such as the Casimir effect, suggest that it may be possible to create regions of negative energy density, but this has not been confirmed experimentally.

5. How does the Null Energy Condition affect the possibility of time travel?

The Null Energy Condition plays a role in determining the feasibility of time travel. It is often used in conjunction with other energy conditions to analyze the possibility of creating closed timelike curves, which would allow for time travel. Generally, the Null Energy Condition suggests that the creation of such curves is not possible.

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