Two binary stars gravitational waves: homotopy perturbation method

Zare, Mahsa; Jalili, O.; Delshadmanesh, Mitra

doi:10.1007/s12648-012-0154-7

Cited by 10 publications

(8 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Comparing this angle with (34), we can conclude that the additional deflection angle due to quintessence nonlinearly varies from πσ/2 at w q = −1/3 to zero at w q = −1. The more accurate approximation for β can be obtained directly from equation (36) as follows One can easily note that both equations, (35) and (38) subject to σ = 0 give just the same value of the deflection angle β as in the case of Schwarzschild black hole. However, the most amazing feature of equations ( 37) and (38) is the appearance of the extra term σl which is proportional to the impact parameter l. This unusual extra angle of deflection due to quintessence with EoS w q = −2/3 requires a special discussion in a separate paper.…”

Section: Deflection Of Light Near Kiselev Black Holementioning

confidence: 99%

Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method

Shchigolev

Bezbatko

2019

Gen Relativ Gravit

View full text Add to dashboard Cite

In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the gravitational deflection of light in General Relativity near Schwarzschild black hole surrounded by quintessence (Kiselev black hole). In order to demonstrate that HPM is able to yield acceptable solutions for the null-geodesics with easily computable terms, the HPM is tested for the simple examples of spherically symmetric spacetimes such as Schwarzschild and Reissner-Nordström black holes. After that, the null-geodesics of light passing the vicinity of Kiselev black hole are studied via the HPM in two particular cases regarding the equation of state parameter of quintessence. In addition, a formula for the angle of deflection has been obtained via HPM in the form of a series which allows to calculate the angle with any accuracy without requirement of its smallness.

show abstract

Section: Deflection Of Light Near Kiselev Black Holementioning

confidence: 99%

Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method

Shchigolev

Bezbatko

2019

Gen Relativ Gravit

View full text Add to dashboard Cite

show abstract

“…It is noteworthy that we obtain the set of linear equations (15). Their solutions with the initial conditions (16) can be readily found as…”

Section: A Naive Homotopymentioning

confidence: 99%

“…Recently there have been studies in which this method is used for analytical calculations in the field of cosmology and astrophysics (see, e.g. [15]- [17]).…”

Section: Introductionmentioning

confidence: 99%

Calculating luminosity distance versus redshift in FLRW cosmology via homotopy perturbation method

Shchigolev

2017

Gravit. Cosmol.

View full text Add to dashboard Cite

We propose an efficient analytical method for estimating the luminosity distance in a homogenous Friedmann-Lemaître-Robertson-Walker (FLRW) model of the Universe. This method is based on the homotopy perturbation method (HPM), which has high accuracy in many nonlinear problems, and can be easily implemented. For analytical calculation of the luminosity distance, we offer to proceed not from the computation of the integral, which determines it, but from the solution of a certain differential equation with corresponding initial conditions. Solving this equation by means of HPM, we obtain the approximate analytical expressions for the luminosity distance as a function of redshift for two different types of homotopy. Possible extension of this method to other cosmological models is also discussed.

show abstract

“…As the obtained solutions by the technique of HPM appear as the rapidly converging infinite series, hence it is enough to limit the calculations for the first few orders. It is worth mentioning that recently in both the field of cosmology and astrophysics several authors [27][28][29][30] have successfully used the HPM technique in their studies. Interestingly, unlike other usual perturbation techniques, any restrictive assumption, linearization or discretization is not essential for HPM to obtain a simple and effective solution to the equations to be solved.…”

Section: Introductionmentioning

confidence: 99%

A new model for strange stars

et al. 2018

View full text Add to dashboard Cite

In the present work, we attempt to find a new class of solutions for the spherically symmetric perfect fluid sphere by employing the Homotopy Perturbation Method (HPM), a new tool via which the mass polynomial function facilitates to tackle the Einstein field equations. A set of interior solutions found on the basis of the simplest MIT bag model equation of state (EOS) in the form p = 1 3 (ρ − 4B) where B is the bag constant. The proposed interior metric for the stellar system is consistent with the exterior Schwarzschild spacetime on the boundary. In addition, we also conduct a detailed study on different tests, viz. the energy conditions, TOV equation, adiabatic index, Buchdahl limit, etc., to verify the physical validity of the proposed model. The numerical value of the used parameters is predicted for different strange star candidates, for different chosen values of the bag constant. In a nutshell, by exploiting HPM technique first time ever in the field of relativistic astrophysics, we have predicted in the present literature a singularity-free and stable stellar model which is suitable to describe ultra-dense objects, like strange (quark) stars.

show abstract

Two binary stars gravitational waves: homotopy perturbation method

Abstract: :Homotopy perturbation is one of the newest methods for numerical analysis of deferential equations. We have used for solving wave equation around a black hole. Our conclusions have this method far reaching consequences for comparison of theoritical physics and experimental physics.

Cited by 10 publications

References 24 publications

Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method

Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method

Calculating luminosity distance versus redshift in FLRW cosmology via homotopy perturbation method

A new model for strange stars

Contact Info

Product

Resources

About