2024arXiv (Cornell University)Open access

Study of Orbital Dynamics in Singular and Regular Naked Singularity Space-times

Avisikta Ghosh

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Abstract

The universe is filled with various compact objects and the most attractive of them are the black holes and singularity. But it is also known that at the singularity density becomes so infinitely high that the present physics knowledge breaks down. Thus, the singularity remains a flaw of the present theories. Several methods have been exercised to resolve the singularity. One such mathematical method is through conformal transformations. This paper deals with regularizing a naked singularity space-time using conformal transformations, further studying and comparing its time-like orbits with that of the naked singularity space-time.

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The universe is filled with various compact objects and the most attractive of them are the black holes and singularity. But it is also known that at the singularity density becomes so infinitely high that the present physics knowledge breaks down. Thus, the singularity remains a flaw of the present theories. Several methods have been exercised to resolve the singularity. One such mathematical method is through conformal transformations. This paper deals with regularizing a naked singularity space-time using conformal transformations, further studying and comparing its time-like orbits with that of the naked singularity space-time.

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Available abstract

The universe is filled with various compact objects and the most attractive of them are the black holes and singularity. But it is also known that at the singularity density becomes so infinitely high that the present physics knowledge breaks down. Thus, the singularity remains a flaw of the present theories. Several methods have been exercised to resolve the singularity. One such mathematical method is through conformal transformations. This paper deals with regularizing a naked singularity space-time using conformal transformations, further studying and comparing its time-like orbits with that of the naked singularity space-time.

Key concepts: Singularity, Naked singularity, Ring singularity, Initial singularity, Singularity theory, Conformal map, Space (punctuation), Physics

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Study of Orbital Dynamics in Singular and Regular Naked Singularity Space-times — Research Paper | ScholarLens