Schwarzschild spacetime in fractal dimensions: Deflection of light, supermassive black holes and temperature effects.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F24%3A00618140" target="_blank" >RIV/60077344:_____/24:00618140 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1142/S0217732324501244" target="_blank" >https://doi.org/10.1142/S0217732324501244</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217732324501244" target="_blank" >10.1142/S0217732324501244</a>

Result language

angličtina

Original language name

Schwarzschild spacetime in fractal dimensions: Deflection of light, supermassive black holes and temperature effects.

Original language description

In this paper, we construct a Schwarzschild metric in the fractal dimension based on fractal calculus, and we study the deflection of light near the sun. It was observed that the new fractal spherically symmetric spacetime metric may describe supermassive black holes, which have been detected through various astronomical observations such as SDSS. We have discussed the deflection of light by the gravitational field of the sun. It was observed that the total deflection of light is affected by the fractal dimension. To estimate the numerical value of the fractal dimension, we have used the 2004 analysis of almost 2 million VLBI observations of 541 radio sources made by 87 VLBI sites, which estimates the factor gamma based on PNN formalism. It was observed that the fractal dimension is roughly less than unity. However, our analysis showed that large bending gravity gives fractal dimensions lower than unity to some extent. We also gave a naive idea about the emission thermal Unruh process in fractal dimension. It was observed that both the temperature and the entropy of black holes are affected by the fractal dimension, and that for low numerical values, the entropy of the black hole is enhanced.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

1793-6632

Volume of the periodical

39

Issue of the periodical within the volume

25N26

Country of publishing house

SG - SINGAPORE

Number of pages

10

Pages from-to

2450124

UT code for WoS article

001325866700008

EID of the result in the Scopus database

2-s2.0-85202767843