The Schwarzschild’s Solution and Mach’s Principle

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00390246" target="_blank" >RIV/68407700:21340/25:00390246 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/978-3-031-89857-0_2" target="_blank" >https://doi.org/10.1007/978-3-031-89857-0_2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-89857-0_2" target="_blank" >10.1007/978-3-031-89857-0_2</a>

Result language

angličtina

Original language name

The Schwarzschild’s Solution and Mach’s Principle

Original language description

We derived a relation for Mach’s principle by applying Schwarzschild’s procedure to solve Einstein’s equations within a homogeneous mass sphere. This results in the proportionality relation We then use this conclusion to extend the solution to a three-dimensional sphere as a model of the spatial component of space-time. For a stationary model of the universe as a three-dimensional sphere in four-dimensional space, the following possible proportionality coefficients are calculated. Two cases of the action of the law of gravity are introduced: for distances within the sphere and for distances within the four-dimensional space.

Czech name

—

Czech description

—

Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

10300 - Physical sciences

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Article name in the collection

Geometric Methods in Physics XLI

ISBN

978-3-031-89857-0

ISSN

2297-0215

e-ISSN

2297-024X

Number of pages

12

Pages from-to

11-22

Publisher name

Birkhäuser

Place of publication

Cham

Event location

Bialystok

Event date

Jul 1, 2024

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

001592474800002