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Time poses an interesting behavior near blackholes. The heavy mass and great density of the black holes slow down even time itself.
Gravitational time dilation, a direct prediction of Einstein’s general theory of relativity, quantifies how clocks tick slower in stronger gravitational fields.
In this paper, the behavior of time near a non-rotating (Schwarzschild) black hole is analyzed using a graphical approach. The time dilation factor is modeled as a function of radial distance from the black hole, with particular emphasis on its behavior near the Schwarzschild radius.
By expressing the relation in a generalized, scale-independent form, the dependence of time dilation on radial position alone is examined. A graphical analysis shows that the time dilation factor approaches zero as the radial distance approaches the Schwarzschild radius, indicating extreme slowing of time relative to a distant observer, while approaching unity far from the black hole. The results highlight the non-linear nature of gravitational time dilation and clarify the distinction between proper time experienced near the event horizon and time measured by a distant observer.
Keywords:
Black Hole, Gravitational Time Dilation, Schwarzschild Black Hole, Time Dilation, Astrophysics
Cite Article:
"Graphical Analysis of Gravitational Time Dilation near a Schwarzschild Black Hole", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2456-3315, Vol.11, Issue 4, page no.b62-b66, April-2026, Available :http://www.ijrti.org/papers/IJRTI2604143.pdf
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator