Gravitational Red Shift at the center of a mass

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SUMMARY

The discussion centers on the concept of gravitational redshift (GRS) at the center of a mass, specifically within a perfectly spherical object like a planet or star. It is established that gravitational forces are neutralized at the center, resulting in no acceleration or redshift in any direction. However, despite this neutralization, the effects of time dilation persist due to the presence of gravity, indicating that GRS is not entirely neutralized even at the center.

PREREQUISITES
  • Understanding of gravitational redshift (GRS)
  • Knowledge of general relativity principles
  • Familiarity with time dilation concepts
  • Basic comprehension of spherical mass distributions
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  • Explore the implications of gravitational redshift in astrophysics
  • Study general relativity and its effects on time dilation
  • Investigate the behavior of gravity within spherical shells
  • Learn about experimental evidence supporting gravitational effects in massive bodies
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Astronomers, physicists, and students of general relativity who are interested in the effects of gravity on time and light within massive celestial bodies.

j bramblejam
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I understand we can calculate that gravitation is neutralized at the center of a mass - say, a planet or star (or anywhere within a spherical shell); I wondered if the GRS is also neutralized, or if being pervaded by gravity - however neutralized - the dilation of space-time persists therein.
 
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Remember that the center of an object (assuming it is perfectly sphereical) will NOT have a difference in gravity from any point. This means that there will not be any acceleration or redshift in anyone direction.

However, there is still gravity at that point. That means that the center will still experience all the effects of time dilation and such.
 

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