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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

1793-6632

Svazek periodika

39

Číslo periodika v rámci svazku

25N26

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

10

Strana od-do

2450124

Kód UT WoS článku

001325866700008

EID výsledku v databázi Scopus

2-s2.0-85202767843