<p>The answer to your question is that if we assume the Universe is infinite then there will always be objects receding from us at the speed of light, simply because recession velocity depends linearly on distance. Indeed there are objects that we can see (i.e. they are within our observable Universe) that recede from us at the speed of light (this is a very misunderstood issue, so I'd advise anyone taking issue with this statement to make sure they've read <a href="http://arxiv.org/abs/astro-ph/0310808" rel="nofollow">this paper</a> first).</p>

<p>If we assume dark energy takes the form of a cosmological constant, then the Universe asymptotically becomes like De Sitter space over time. This means that the sphere of objects that are receding from us at c (the Hubble sphere) settles down to a constant radius which is inversely proportional to the square root of the cosmological constant.</p>

<p>Edited to add: recession velocities though are purely a function of cosmological coordinates so don't confuse them with local velocities which are always constrained by c.</p>

CC BY-SA 3.0
2014-10-05T16:11:02.287Z
2014-10-05T16:57:53.027Z
2014-10-05T16:57:53.027Z
John Davis
<p>This is  a tricky question, because dark energy does not always affect the distances between any two given objects in the universe. Consider this question: <a href="https://astronomy.stackexchange.com/questions/1665/galaxies-are-moving-away-from-each-other-then-how-milkyway-and-andromeda-galaxy">Galaxies are moving away from each other then how Milkyway and Andromeda galaxy coming towards each other?</a>. The Milky Way and Andromeda are incredibly far apart, yet they are moving <em>towards</em> each other because of gravity. Likewise, the other galaxies in the Local Group are gravitationally bound to the Group, and won't be leaving it. The gist of this is that it's difficult to determine just where dark energy becomes the dominant player in the universe.</p>

<p>We can calculate the speed (recessional velocity) at which objects move away from each other by using <a href="http://en.wikipedia.org/wiki/Hubble%27s_law" rel="nofollow noreferrer"><em>Hubble's law</em></a>, $v=H_od$, where $v$ is recessional velocity, $H_o$ is the Hubble constant, and $d$ is the distance between the objects. We can use the Hubble constant, along with the <a href="http://en.wikipedia.org/wiki/Friedmann_equations" rel="nofollow noreferrer">Friedmann equations</a>, to derive the <em>Hubble parameter</em>, which can then be used to calculate the expansion of the universe over time. The Hubble parameter is a function of time, while the Hubble constant is constant throughout space-time; it is the current value of the Hubble parameter.</p>

<p>So while we can use the Hubble constant to calculate how fast objects are moving away from each other <em>now</em>, we can use the Hubble parameter to calculate at what time two objects will be moving away from each other at a given speed. I invite you to use the following pages to get you started on some calculations, but I will warn you to not use them for any objects inside the Local Group.</p>

<p>Here are the aforementioned pages:</p>

<p><a href="http://en.wikipedia.org/wiki/Deceleration_parameter" rel="nofollow noreferrer">Deceleration parameter</a></p>

<p><a href="https://en.wikipedia.org/wiki/Scale_factor_(cosmology)" rel="nofollow noreferrer">Scale factor</a></p>

<p>I hope this helps.</p>

CC BY-SA 3.0
2014-10-04T13:55:55.617Z
2015-01-10T23:08:26.450Z
2017-04-13T12:59:06.910Z
HDE 226868
<p>If space expands, objects embedded in that space move relative to each other at velocities that are only linearly increasing with their distance. So, nearby such objects never move at the speed of light relative to each other.</p>

CC BY-SA 3.0
2014-10-04T13:41:01.757Z
2014-10-04T13:41:01.757Z
Walter
<p>Since dark energy is causing everything to speed up infinitely, wouldn't everything near the speed of light? And since it's nearing the speed of light, wouldn't all kinds of strange things start happening such as time dilation?</p>

CC BY-SA 3.0
2014-10-04T07:27:21.590Z
I don't think so because the original velocities of the galaxies are the same. It's just that space is expanding faster and faster.
Yashbhatt
<universe><light><expansion>
If the expansion of the universe is speeding up, how long until everything nears the speed of light, and what would happen?
Michael Blake
# If the expansion of the universe is speeding up, how long until everything nears the speed of light, and what would happen?

(Asked by: username_0 on 2014-10-04)

Since dark energy is causing everything to speed up infinitely, wouldn't everything near the speed of light? And since it's nearing the speed of light, wouldn't all kinds of strange things start happening such as time dilation?

**Tags:** universe, light, expansion
> **Comments:**
> **username_1**: I don't think so because the original velocities of the galaxies are the same. It's just that space is expanding faster and faster.  

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## 3 answers

### Answer by username_2 on 2014-10-05. Score: 3

The answer to your question is that if we assume the Universe is infinite then there will always be objects receding from us at the speed of light, simply because recession velocity depends linearly on distance. Indeed there are objects that we can see (i.e. they are within our observable Universe) that recede from us at the speed of light (this is a very misunderstood issue, so I'd advise anyone taking issue with this statement to make sure they've read [this paper](http://arxiv.org/abs/astro-ph/0310808) first).

If we assume dark energy takes the form of a cosmological constant, then the Universe asymptotically becomes like De Sitter space over time. This means that the sphere of objects that are receding from us at c (the Hubble sphere) settles down to a constant radius which is inversely proportional to the square root of the cosmological constant.

Edited to add: recession velocities though are purely a function of cosmological coordinates so don't confuse them with local velocities which are always constrained by c.


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### Answer by username_3 on 2014-10-04. Score: 2

This is a tricky question, because dark energy does not always affect the distances between any two given objects in the universe. Consider this question: [Galaxies are moving away from each other then how Milkyway and Andromeda galaxy coming towards each other?](https://astronomy.stackexchange.com/questions/1665/galaxies-are-moving-away-from-each-other-then-how-milkyway-and-andromeda-galaxy). The Milky Way and Andromeda are incredibly far apart, yet they are moving *towards* each other because of gravity. Likewise, the other galaxies in the Local Group are gravitationally bound to the Group, and won't be leaving it. The gist of this is that it's difficult to determine just where dark energy becomes the dominant player in the universe.

We can calculate the speed (recessional velocity) at which objects move away from each other by using [*Hubble's law*](http://en.wikipedia.org/wiki/Hubble%27s_law), $v=H\_od$, where $v$ is recessional velocity, $H\_o$ is the Hubble constant, and $d$ is the distance between the objects. We can use the Hubble constant, along with the [Friedmann equations](http://en.wikipedia.org/wiki/Friedmann_equations), to derive the *Hubble parameter*, which can then be used to calculate the expansion of the universe over time. The Hubble parameter is a function of time, while the Hubble constant is constant throughout space-time; it is the current value of the Hubble parameter.

So while we can use the Hubble constant to calculate how fast objects are moving away from each other *now*, we can use the Hubble parameter to calculate at what time two objects will be moving away from each other at a given speed. I invite you to use the following pages to get you started on some calculations, but I will warn you to not use them for any objects inside the Local Group.

Here are the aforementioned pages:

[Deceleration parameter](http://en.wikipedia.org/wiki/Deceleration_parameter)

[Scale factor](https://en.wikipedia.org/wiki/Scale_factor_(cosmology))

I hope this helps.


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### Answer by username_4 on 2014-10-04. Score: 1

If space expands, objects embedded in that space move relative to each other at velocities that are only linearly increasing with their distance. So, nearby such objects never move at the speed of light relative to each other.


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