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My possibly mistaken understanding is that dark energy changes with time, whereas a cosmological constant is, well, constant. What about gravitational clumping? Detecting relative motion?

Qmechanic
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Jim Graber
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4 Answers4

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Dark energy is a catch all term for whatever is accelerating the expansion. The simplest form of dark energy consistent with general relativity is a cosmological constant, and this is just an energy density per unit volume of space.

The cosmological constant is time independant (and position independant) by definition, that is if it were changing in time or space it wouldn't be called a cosmological constant. You can replace the cosmological constant with a scalar field that is allowed to vary in space and/or time, and this gives rise to other models such as quintessence. It's interesting to speculate about ideas like this, but at the moment there is no evidence that the dark energy is changing, and therefore a simple cosmological constant is consistent with observations.

You need to bear in mind that the cosmological constant and quintessence are just mathematical models that fit the observed data. At the moment there is no theoretical reason to recomend the cosmological constant, quintessence or indeed anything else.

The Wikipedia article you linked discusses the various forms of dark energy. Can you expand a bit on what issues the article leaves you unsure about.

John Rennie
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Short and sweet: A cosmological constant is the special case of dark energy with constant density; Dark Energy may also be non-constant, we do not know if this is actually the case.

Thriveth
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As noted dark energy is a catch all term to explain accelerated expansion.

In most general terms dark energy must be of a form such:

($\rho_{dark \: energy} + \rho_{all \: other \: matter}) + 3(P_{dark \: energy} + P_{all \: other \: matter}) <0$

Where $\rho$ is energy density and $P$ is pressure (they have the same units).

As all other terms are non-negative, $P_{dark \: energy}$ must be negative, i.e. dark energy has negative pressure and further $\frac{P_{dark \: energy}}{\rho_{dark \: energy}} < -\frac{1}{3}$ (this is the bear minimum to make sure that dark energy doesn't have the effect of slowing the expansion of the Universe)

The cosmological constant is dark energy of the form $\frac{P_{dark \: energy}}{\rho_{dark \: energy}} = -1$ and its energy density remains constant as the Universe expands, though the dark energy of the form where the energy density increases and of the form where the energy density decreases are both allowed by the above.

John Davis
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My view is that dark energy is like hot air in a balloon. It's density does not stay constant, but decreases as the universe expands, like every other form of energy.

Like other forms of energy, it would also be subject to the second law of thermodynamics and would cool down, slow down, and get sucked into black holes, converting it's pushing effect, into a pulling effect of gravity.

There's no reason to think it behaves completely differently to all other forms of energy we know about.