Fractional mimetic dark matter: A fractional action-like variational approach.

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F24%3A00618139" target="_blank" >RIV/60077344:_____/24:00618139 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1142/S0217732324501475" target="_blank" >https://doi.org/10.1142/S0217732324501475</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217732324501475" target="_blank" >10.1142/S0217732324501475</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional mimetic dark matter: A fractional action-like variational approach.

Popis výsledku v původním jazyce

In this paper, we propose a nonlocal extension of the mimetic dark matter model based on the FALVA implementation of fractional calculus. Our primary objective to explore how certain properties of dark matter can be modeled within the FALVA framework rather than formulate a phenomenological model. We begin by constructing the action functional of the cosmological extension of the mimetic dark model and deriving the nonlinear equations of motion in the general case. Next, we focus on a fractional-power homogeneous mimetic dark field with an exponential expansion factor. We derive the equation of motion for the lapse field and obtain its general solution. Analytical solutions are then obtained for small time intervals and arbitrary values of the fractionality parameter. These solutions enable us to establish the physical line element of spacetime, incorporating the mimetic dark matter field. From this line element, we derive the Ricci tensor, Ricci scalar, and geodesic equations.

Název v anglickém jazyce

Fractional mimetic dark matter: A fractional action-like variational approach.

Popis výsledku anglicky

In this paper, we propose a nonlocal extension of the mimetic dark matter model based on the FALVA implementation of fractional calculus. Our primary objective to explore how certain properties of dark matter can be modeled within the FALVA framework rather than formulate a phenomenological model. We begin by constructing the action functional of the cosmological extension of the mimetic dark model and deriving the nonlinear equations of motion in the general case. Next, we focus on a fractional-power homogeneous mimetic dark field with an exponential expansion factor. We derive the equation of motion for the lapse field and obtain its general solution. Analytical solutions are then obtained for small time intervals and arbitrary values of the fractionality parameter. These solutions enable us to establish the physical line element of spacetime, incorporating the mimetic dark matter field. From this line element, we derive the Ricci tensor, Ricci scalar, and geodesic equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/QK22020134" target="_blank" >QK22020134: Inovativní rybářský management velké nádrže</a><br>

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

31N32

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

21

Strana od-do

2450147

Kód UT WoS článku

001358031300007

EID výsledku v databázi Scopus

2-s2.0-85207410429