What is positive and negative curvature?
What is positive and negative curvature?
If you have a triangle in positive curvature, the sum of the angles of a triangle is bigger than 180 degrees. Negative curvature, similarly, means the sum of the angles is less than 180 degrees. You might think about what this means on a Pringles potato chip!
What is negatively curved space?
A negatively curved space is infinite, has no boundary, and no center. Parallel lines diverge, the angles of a triangle add up to less than 180 degrees, and the circumference of a circle is less than 2 R.
What is positively curved space?
A universe with density greater than the critical density has positive curvature, creating a closed universe that can be imagined like the surface of a sphere. And if the universe’s density is less than the critical density, then the universe is open and has negative curvature, like the surface of a saddle.
How do you know if torsion is positive or negative?
If torsion is positive, the curve “turns” to the side to which binormal vector points. If torsion is negative, the curve “turns” to the opposite side.
What is the curvature of the universe?
A universe with density greater than the critical density has positive curvature, creating a closed universe that can be imagined like the surface of a sphere. And if the universe’s density is less than the critical density, then the universe is open and has negative curvature, like the surface of a saddle.
What causes the curvature of space?
Locally, spacetime is curved by the presence of massive objects. The universe’s total mass/energy density has an effect on the overall curvature of space.
Is space flat or curved?
Is space flat or curved? According to Einstein’s theory of general relativity, massive objects warp the spacetime around them, and the effect a warp has on objects is what we call gravity. So, locally, spacetime is curved around every object with mass.
What determines whether the universe is flat or open?
The density of matter and energy in the universe determines whether the universe is open, closed, or flat. If the density is equal to the critical density, then the universe has zero curvature; it is flat. You can imagine a flat universe like a sheet of paper that extends infinitely in all directions.