Curvature of Space-Time: Understanding Bing Bang & f(t)

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SUMMARY

The discussion focuses on the implications of the metric in space-time, specifically the metric represented as f(t)ηuvdxudxv, where f(t) approaches infinity at t=0 and zero as t approaches infinity. This formulation indicates that at the moment of the Big Bang (t=0), the universe is characterized by infinite density, representing a singularity. The participants explore the physical meaning of this mathematical representation, confirming that it aligns with the concept of the Big Bang singularity.

PREREQUISITES
  • Understanding of general relativity and space-time metrics
  • Familiarity with the concept of geodesics in physics
  • Basic knowledge of singularities in cosmology
  • Mathematical proficiency in calculus and differential equations
NEXT STEPS
  • Research the implications of singularities in general relativity
  • Study the mathematical formulation of space-time metrics in cosmology
  • Explore the concept of geodesics and their physical interpretations
  • Learn about the Big Bang theory and its mathematical underpinnings
USEFUL FOR

Physicists, cosmologists, and students of general relativity seeking to deepen their understanding of space-time metrics and the implications of the Big Bang singularity.

alejandrito29
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hello
i understand that in a flat space the metric is \eta_{uv}dx^udx^v...i know that this means that the light follows straight geodesic in this space time...

but ¿what would means that metric is f(t)\eta_{uv}dx^udx^v where f(t)=infinite in t=0 and f(t)=0 in t=infinite...obvious i understand the matematics, but physically ¿what means?...for example..¿what means that in bing bang in t=0 f(t)= infinite?
 
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alejandrito29 said:
hello
i understand that in a flat space the metric is \eta_{uv}dx^udx^v...i know that this means that the light follows straight geodesic in this space time...

but ¿what would means that metric is f(t)\eta_{uv}dx^udx^v where f(t)=infinite in t=0 and f(t)=0 in t=infinite...obvious i understand the matematics, but physically ¿what means?...for example..¿what means that in bing bang in t=0 f(t)= infinite?

It sounds a little bit strange to me.
Anyway probably f(t=0)=infinite it's the Big Bang singularity, a point with infinite density (so the metric), but it's a very raw treatment.
 

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