Gravitational potentials and forces in the Lattice Universe: a slab

被引：1

作者：

Eingorn, Maxim ^{[1
]}

O'Briant, Niah ^{[1
]}

Arzu, Katie ^{[1
]}

Brilenkov, Maxim ^{[2
]}

Zhuk, Alexander ^{[3
]}

机构：

[1] North Carolina Cent Univ, Dept Math & Phys, 1801 Fayetteville St, Durham, NC 27707 USA

[2] Univ Oslo, Inst Theoret Astrophys, Postboks 1029, N-0315 Oslo, Norway

[3] Odessa II Mechnikov Natl Univ, Astron Observ, Dvoryanskaya St 2, UA-65082 Odessa, Ukraine

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2021年 / 136卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1140/epjp/s13360-021-01139-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the effect of the slab topology TxRxR of the Universe on the form of gravitational potentials and forces created by point-like masses. We obtain two alternative forms of solutions: One is based on the Fourier series expansion of the delta function using the periodical property along the toroidal dimension, and another one is derived by direct summation of solutions of the Helmholtz equation for the source particle and all its images. The latter one takes the form of the sum of Yukawa-type potentials. We demonstrate that for the present Universe the latter solution is preferable for numerical calculations since it requires less terms of the series to achieve the necessary precision.

引用

页数：14

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