What is Cosmological constant: Definition and 188 Discussions

In cosmology, the cosmological constant (usually denoted by the Greek capital letter lambda: Λ), alternatively called Einstein's cosmological constant, is the energy density of space, or vacuum energy, that arises in Albert Einstein's field equations of general relativity. It is closely associated to the concept of dark energy.Einstein originally introduced the concept in 1917 to counterbalance the effects of gravity and achieve a static universe, a notion which was the accepted view at the time. Einstein abandoned the concept in 1931 after Hubble's confirmation of the expanding universe. From the 1930s until the late 1990s, most physicists assumed the cosmological constant to be equal to zero. That changed with the surprising discovery in 1998 that the expansion of the universe is accelerating, implying the possibility of a positive nonzero value for the cosmological constant.Since the 1990s, studies have shown that around 68% of the mass–energy density of the universe can be attributed to so-called dark energy. The cosmological constant Λ is the simplest possible explanation for dark energy, and is used in the current standard model of cosmology known as the ΛCDM model.
According to quantum field theory (QFT) which underlies modern particle physics, empty space is defined by the vacuum state which is a collection of quantum fields. All these quantum fields exhibit fluctuations in their ground state (lowest energy density) arising from the zero-point energy present everywhere in space. These zero-point fluctuations should act as a contribution to the cosmological constant Λ, but when calculations are performed these fluctuations give rise to an enormous vacuum energy. The discrepancy between theorized vacuum energy from quantum field theory and observed vacuum energy from cosmology is a source of major contention, with the values predicted exceeding observation by some 120 orders of magnitude, a discrepancy that has been called "the worst theoretical prediction in the history of physics". This issue is called the cosmological constant problem and it is one of the greatest mysteries in science with many physicists believing that "the vacuum holds the key to a full understanding of nature".

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  1. marcus

    Calculating the cosmological constant from scratch

    Here is a fun thing to try The Google calculator knows the values of pi, the speed of light c, Newton's G and stuff like that. So you can easily make it calculate the cosmological constant from a few familiar facts. You have to know that the usual estimate of the Hubble parameter is 71...
  2. R

    Cosmological Constant in mks units

    Hey folks, I'm writing a pop-sci article for a journal and one of the referees wants me to give the cosmological const in mks units instead of GeV. I just wanted to check with anyone in the know if the following looks correct. First, the accepted value of lambda (order of mag)...
  3. E

    Cosmological constant as a perfect fluid

    Hi everyone, If anyone could point me in the right direction with this problem I'd really appreciate it. "Show that the cosmological constant can be interpreted as a perfect fluid having an equation of state w=-1." I have a rough idea of how to do the second part of the proof: if the...
  4. E

    Cosmological constant as a perfect fluid

    Hi everyone, If anyone could point me in the right direction with this problem I'd really appreciate it. "Show that the cosmological constant can be interpreted as a perfect fluid having an equation of state w=-1." I have a rough idea of how to do the second part of the proof: if the...
  5. E

    Cosmological constant as a fluid

    Hi everyone, If anyone could point me in the right direction with this problem I'd really appreciate it. "Show that the cosmological constant can be interpreted as a perfect fluid having an equation of state w=-1." I have a rough idea of how to do the second part of the proof: if the...
  6. N

    Meaning of cosmological constant ?

    Incredibly much has been written about the cosmological constant and all its implications on the evolution of the universe. I want to ask however a more basic question about it. The cosmological constant has the dimension of 1/R^2. So supposing this constant is non-zero, its value points to the...
  7. T

    Schwarzchild solution with cosmological constant

    How do we solve for it? I still don't know much about non linear equations. Unfortunately, this reduces to R=-4(cosmos constant) which is not a system thus making simplicfication difficult. I'm assuming that we can still use the previous arguments and assume that the metric coompontents Gtt and...
  8. D

    The link between the cosmological constant and the higgs field

    I have read that the current expansion of the universe could be due to a bare positive cosmological constant along with a negative cosmological constant due to the false vacuum of the higgs field. Currently this negative CC is not enough to cancel the positive cc but with time this can be...
  9. W

    Dark Energy, the Cosmological Constant, General Relativity and you

    So there has been a few threads over the last few days where the whole issue of dark energy and/or the cosmological constant has been discussed in the context of whether it is a valid 'solution' to GR or if it violates some principle of relativity or even insults Einsteins 'legacy', whatever...
  10. stevebd1

    Calculating Critical Density and Cosmological Constant

    I'm currently looking into the values for the 'critical density' and 'cosmological constant', I managed to calculate a figure for the critical density which was close to the generally accepted figure, with lambda I came up with an astronomically small number which I later realized after...
  11. L

    Schwarzschild metric, cosmological constant

    From an https://www.physicsforums.com/showthread.php?t=140501", a new question comes to me. Is there a known generalisation of the Schwarzschild geometry when the cosmological constant is positive? Are there still black-holes in this case? Are there small modifications to the Newtonian...
  12. M

    Figuring out the units for the cosmological constant

    How does one figure out the units of measure for the cosmological constant? In the Einstein Field Equation: \[Rab - \frac{1}{2}Rgab + \Lambda gab = 8\pi Tab\] Lambda is a constant but the units of measure for gab and Tab differ for each combination of indices. For example T00 is an...
  13. T

    Calculation of the Cosmological Constant

    Hallo, perhaps you remind our last paper (gr-qc/0511089) about the local characteristics of differential structures. Meanwhile we examined the global characteristics and found a way to compute the cosmological constant. It would be nice to hear your opinion about it! See...
  14. B

    A positive cosmological constant * SUSY/string theory

    lee smolin claims that SUSY/string theory can account for negative (anti-DS) and zero cosmological constant, but not a positive de-sitter constant, which is what has been observed. he also claims the kodama state in LQG has a good semiclassical limit that is GR, and incorporates a small...
  15. M

    A fix for the Cosmological Constant problem?

    I hear that the calculated value of the vacuum energy using QFT is 120 orders of magnitude more than what is observed for the cosmological constant (or vacuum energy). But I wonder if this calculation was done in a very slow locally expanding spacetime. Or was it done with a strictly...
  16. P

    A Birkhoff's theorem with cosmological constant

    Birkhoff's theorem says that any vacuum solution of Einstein's equations must be static, and asymptotically flat. One of the consequences of Birkhoff's theorem is that the gravitational field inside any spherical shell of matter is zero, even if the shell is expanding. But what happens if...
  17. P

    Birkhoff's theorem with cosmological constant

    Birkhoff's theorem says that any vacuum solution of Einstein's equations must be static, and asymptotically flat. One of the consequences of Birkhoff's theorem is that the gravitational field inside any spherical shell of matter is zero, even if the shell is expanding. But what happens if...
  18. S

    'Cyclic universe' can explain cosmological constant

    http://www.newscientistspace.com/article/dn9114-cyclic-universe-can-explain-cosmological-constant.html" I thought Einstein abondend the cosmological constant after they found out the uninverse is expanding. Why are they interestead in it again?
  19. R

    Accelerating expansion and the Cosmological Constant

    Einstein’s Cosmological Constant was inserted into his General Relativity equations to make the universe static, neither expanding nor contracting, as most physicists believed it was at that time, as his equations showed that the universe is unstable and would eventually contract into a single...
  20. wolram

    Casimir Effect Confronts Cosmological Constant

    I thought this the right place to post this, from the little i can understand it seems interesting. http://arxiv.org/abs/astro-ph/0604265 Casimir Effect confronts Cosmological Constant Authors: Gaurang Mahajan, Sudipta Sarkar, T. Padmanabhan Comments: revtex4; four pages; 5 figs It has...
  21. B

    Cosmological Constant and the like

    I have a few questions that have been piling up. 1. Einstein introduced the cosmoligical constant to demand a static universe like so, G + (Lambda * metric tensor) = T If you were to calculate the perihelion precession of mercury, bending of starlight etc. with this additional term would...
  22. P

    Vacuum with cosmological constant

    I was thinking about constraints on the stress-energy tensor of the vacuum, and came to an interesting conclusion that the vacuum itself should only be isotropic in one rest frame if there is a cosmological constant. If we start with a vacuum that is homogeneous and isotropic in some cartesian...
  23. P

    Cosmological Constant: Unravelling the Mysteries of Dark Matter

    Einstein introduced the cosmological constant to keep a static universe But we know the universe is expanding due to dark matter? The exstistence of dark matter promotes the cosmoloigcal constant again. How does that make sense? Static universe: need cosmological constant...
  24. K

    Cosmological Constant: What & Why?

    what is cosmological constant?Why it is introduced by Enstien.?
  25. J

    Quantum Gravity with a Positive Cosmological Constant

    Hi, I have been reading the paper "Quantum Gravity with a Positive Cosmological Constant" by Lee Smolin (http://arxiv.org/abs/hep-th/0209079), and am having some trouble making the constants in Part I, Sections 2, 3, and 4 match with what I would calculate them to be when I try to go through...
  26. G

    GR & The Cosmological Constant

    When we approach a calculation in relativity, do we have to change the cosmological constant in order to work with bigger dimensions? Because i know we are limited to seeing 1, 2 and 3 dimensions, i was just curious if you wanted to figure out an answer using an equation based on a bigger...
  27. wolram

    Cosmological constant and Dark energy

    http://arxiv.org/abs/astro-ph/0504416 Authors: Mustapha Ishak (Princeton University) Comments: 10 pages, 5 figures Associated with the cosmic acceleration are the old and new cosmological constant problems, recently put into the more general context of the dark energy problem. In...
  28. S

    Relativity & Quantum Field Theory: Explaining Cosmological Constant

    Can anyone explain the relation between quantum field theory and relativity. I mean the "cosmological constant". Tanks a lot.
  29. turbo

    Newly revised paper on zero point energy and cosmological constant

    Here is a fellow who is working on the cosmological constant problem. He is working with the standard model and has taken a different approach than mine, but has arrived at a similar understanding of the ZPE fields. In empty space, the ZPE fields are self-moderating and non-gravitating, but in...
  30. marcus

    Olaf Dreyer: the Cosmological Constant paradox

    http://arxiv.org/hep-th/0409048 this is a 4-page paper. the cosmological constant problem is the worst prediction in the history of physics---conventional Quantum Field Theory predicts a vacuum energy which is 123 orders of magnitude off: wrong by a factor or 10123 why is this? it should...
  31. H

    Nature of the cosmological constant

    If one adds a scalar to the Hilbert action without considering any matter fields, S = \int {d^nx {\sqrt -g} (R - 2 \Lambda) one gets the Einstein equations as: R_{\mu \nu} - \frac{1}{2} R g_{\mu \nu} + \Lambda g_{\mu \nu} = 0 Now, one can take T_{\mu \nu} = -...
  32. wolram

    Is the Cosmological Constant Problem Indicative of Unknown Aspects of Gravity?

    http://members.aon.at/chakalov/Thiemann.html From: Dimi Chakalov <dimi@chakalov.net> To: Thomas Thiemann <tthiemann@perimeterinstitute.ca> Cc: <odreyer@perimeterinstitute.ca>, <fotini@perimeterinstitute.ca>, <dgottesman@perimeterinstitute.ca>, <hburton@perimeterinstitute.ca>...
  33. A

    Thermal Decay of the Cosmological Constant into Black Holes

    A great new paper showed up today, elucidating the gist of the subject mentioned above... the idea seems to be novel to me, so i thought it was more than worth being brought up to your attention :) http://arxiv.org/abs/hep-th/0311011 I can't say much about it, since i quite frankly...
  34. A

    Understanding the Cosmological Constant Problem

    I do realize that this is an enormous problem in science today (string theory included), but after reading some related material, i have a question i'd like you guys, if possible, to answer... There are two problems with the cc: Why is it so small and why is the cc the same order of...
  35. marcus

    Quantizing speeds with the cosmological constant

    a new paper by Girelli and Livine http://arxiv.org/gr-qc/0311032 4 pages
  36. R

    Is the Cosmological Constant a Result of Spacetime's Tendency to Be Flat?

    I started this thread in theory development again no reponse so I moved it here. Is it Cosmological or Universal Constant? Another related thought concerning the Cosmological Constant. Just as space time, dimensional space and time, is a characteristic of matter and formed as matter formed...
  37. F

    Einstein's Cosmological Constant

    recently i heard a prominent english physicist using 70 as his value for ecc. what value do you like and where did you get it from?
  38. N

    Does the Cosmological Constant Exist?

    is that cosmological constant exist??
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