The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [de-sitter-spacetime]

The tag has no usage guidance.

77 questions
Filter by
Sorted by
Tagged with
38 views

77 views

Minkowski space vs De Sitter Space

Can you explain to a layman the differences between the former two?
84 views

Does an observer inside a black hole experience the de Sitter metric?

My question has emerged, because of the following similarities between the metric an observer experiences in the Schwartzschild space being under the Schwartzschild radius and an observer in the de ...
23 views

Is there a de Sitter or FRW collapse solution for black holes, similar to the Oppenheimer-Snyder-collapse?

I know the Oppenheimer-Snyder-solution and the formation of the black hole event horizon during the collapse. Is there a similar solution for a dynamical collapse, embedded in asymptotic de Sitter ...
56 views

How accurate is the De Sitter solution of the Einstein field equations of general relativity?

The De sitter solution models the universe as spatially flat, neglecting ordinary matter, such that it is dominated by the cosmological constant. The cosmological constant notion arguably suggests the ...
32 views

How is deSitter group tranformations different from poincare group transformations

In QFT, we have studies Poincare group of massive and massless particles. Is the deSitter group also useful to study such things? What exactly is the main role of this group in QFT? I just know the ...
194 views

What would happen to de Sitter universe if the cosmological constant disappears?

De sitter universe is dominated by a cosmological constant (devoid of matter and radiation), corresponding to dark energy in the far future or the inflaton field in the early universe, leading to an ...
25 views

2D deSitter conserved charges

For $1+1$-dimensional dS spacetime, the metric takes the form (in comoving coordinates) $$\mathrm{d}s^2=\left(\mathrm{d}x^0\right)^2-e^{2Hx^0}\left(\mathrm{d}x^1\right)^2.$$ I want to find the ...
48 views

902 views

Is de Sitter space with non-zero curvature an acceptable model for the universe?

On wikipedia I can find that a de Sitter-space has maximal symmetry and a constant curvature. Recently the interest of de Sitter spaces has increased as it could serve as a model for the universe, an ...
41 views

Is there a homogeneous $\Lambda$-vacuum spacetime with spatial topology $\mathbb{R}^2\times S^1$?

This question is about homogeneous $\Lambda$-vacuum spacetimes. The unique isotropic solution is de Sitter space, which has the spatial topology of $\mathbb{R}^3$. There is the Kantowski-Sachs metric, ...
107 views

Does the curvature parameter $k$ change with coordinate choice (de Sitter spacetime)?

The de Sitter spacetime can be derived from the vacuum Friedmann equations given a choice of $k=0$, where $k$ defines the spatial curvature of the spacetime. The resulting metric in $(t,x,y,z)$ is ...
91 views

de-Sitter spacetimes

In classical textbooks for GR, Schwarzschild and Kerr spacetimes are adequately described. In which books or articles, it is mostly believed that Reissner-Nordstrom, Kerr-Newman, Schwarzschild-de ...
186 views

Large $D$ limit of (Anti) de Sitter Space is Minkowskian Space?

As is well known, the solution of the vacuum Einstein equations with a non-zero cosmological constant, $G_{\mu\nu}+\Lambda g_{\mu\nu}=0$, is an asymptotically (anti) de Sitter space based on the sign ...
2k views

Since the universe has a positive cosmological constant, there is an upper limit on the mass of the black holes as evident from the so-called Schwarzschild-de Sitter metric: $ds^2 = -f(r)dt^2 + \... 1answer 144 views How does one write a three dimensional de Sitter space as the quotient$SL(2, C)/SL(2, R)$? In arXiv:hep-th/0110108 the$(2+1)-$dimensional de Sitter space is represented as a quotient space of$SL(2, C)/SL(2, \mathbb{R})$. I couldn't understand how, both mathematically and intuitively, is ... 1answer 159 views Totally geodesic spacelike surfaces in de Sitter space Let$S^2_1$be the de Sitter space $$\{x:\langle x,x\rangle=x_0^2-x_1^2-x_2^2-x_3^2=-1\}$$ in Minkowski space$\mathbb {R}^3_1$with$ds^2=dx_0^2-dx_1^2-dx_2^2-dx_3^2$. Is it true that for each pair ... 1answer 654 views What are the de Sitter Killing vectors? I'm trying to find the Killing vectors for de Sitter space using global coordinates, i.e. the spherical foliation. In the end, I want to know how to perform a boost on the 1+1 and 3+1 de Sitter ... 1answer 340 views Entropy of the de Sitter cosmological horizon For an eternal dS universe, the entropy of an observer in the static patch goes as the area of the horizon which for 3+1 D goes as$S_H = \frac{Area_{H}}{4} \sim H^{-2}$, as given by Gibbons & ... 0answers 190 views Lapse Function and Shift Vector in Minkowski and de Sitter I'd like to find the lapse function and shift vector in 1+1 Minkowski as well as 1+1 de Sitter (flat foliation) for a region foliated this way: The$y$-axis represents time while the x-axis ... 1answer 193 views de Sitter reviews? I'm very interested in learning more about de Sitter and anti-de Sitter spaces and their applications in GR and cosmology. Can anyone recommend favorite review articles -- or, more likely, a series ... 3answers 1k views If the expansion of the Universe accelerates, why its horizon does not shrink? In de Sitter (expanding) universe to which our universe asymptotically approaches, the higher the rate of space expansion, the smaller the radius of the cosmic horizon. Why then our universe is ... 2answers 241 views Are orbits possible in de sitter space? Since the de sitter space has constant positive curvature does that mean that objects can't orbit around other objects? 1answer 300 views Why$C_{abcd}C^{abcd}$in de Sitter–Schwarzschild metric doesn't depend on$\Lambda\$

With the de Sitter–Schwarzschild metric: $$ds^2=-\left(1-\frac{2M}{r}-\frac{\Lambda r^2}{3}\right)dt^2+\left(1-\frac{2M}{r}-\frac{\Lambda r^2}{3}\right)^{-1}dr^2+r^2d\theta+r^2\sin^2\theta d\phi$$ I ...