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Big Rip
Linked via "Big Crunch"
Big Freeze/Heat Death: Occurs if $w = -1$. Expansion continues indefinitely, but structures remain gravitationally bound, eventually leading to maximum entropy.
Big Crunch: Occurs if dark energy were negligible or absent, and the total density of matter and radiation exceeded the critical density ($\Omega > 1$), causing gravity to reverse the expansion.
Big Bounce: A hypothetical cyclical model where a Big Crunch inevitably leads to a subsequent … -
Cosmology
Linked via "Big Crunch"
The ultimate destiny of the cosmos is determined by the nature and evolution of dark energy. In the $\Lambda$CDM model, where $w \approx -1$, dark energy remains constant, leading to a scenario known as the Big Freeze or Heat Death.
If $w < -1$ (hypothetically, phantom energy), the expansion would accelerate unboundedly, leading to a "Big Rip," where structures are torn apart by the ever-increasing expansion rate. Convers… -
Curvature Spacetime
Linked via "Big Crunch"
| Curvature Type | Geometric Analogy | Density Parameter ($\Omega$) | Implied Fate (If $\Lambda=0$) |
| :--- | :--- | :--- | :--- |
| Positive (Closed) | Surface of a hypersphere | $\Omega > 1$ | Big Crunch |
| Zero (Flat) | Euclidean Plane | $\Omega = 1$ | Continued expansion (eventually ceasing) |
| Negative (Open) | Surface of a hyperbolic saddle | $\Omega < 1$ | Eternal expansion |