Quantitative properties of the Schwarzschild metric

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488531" target="_blank" >RIV/67985840:_____/18:00488531 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61389005:_____/18:00488531

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Quantitative properties of the Schwarzschild metric

Popis výsledku v původním jazyce

In this paper we show that the di erence between the Euclidean geometry and Schwarzschild geometry curved by a tiny mass ball can be quite large on galactic and cosmological scales. We also provide formulas for the proper (relativistic) radius and volume of a homogeneous mass ball. For instance, the homogeneous ball, whose mass and radius is the same as that of the Earth, has relativistic volume about 457 km3 larger than its Euclidean volume. Similarly, the Euclidean circumference of the Sun is about 3 km shorter than its relativistic circumference, provided the Sun would be homogeneous. Finally, we give some cosmological applications. In particular, the most probable model of a homogeneous and isotropic universe for a xed time is a three-dimensional hypersphere, since a homogeneous distribution of mass yields a positive curvature.

Název v anglickém jazyce

Quantitative properties of the Schwarzschild metric

Popis výsledku anglicky

In this paper we show that the di erence between the Euclidean geometry and Schwarzschild geometry curved by a tiny mass ball can be quite large on galactic and cosmological scales. We also provide formulas for the proper (relativistic) radius and volume of a homogeneous mass ball. For instance, the homogeneous ball, whose mass and radius is the same as that of the Earth, has relativistic volume about 457 km3 larger than its Euclidean volume. Similarly, the Euclidean circumference of the Sun is about 3 km shorter than its relativistic circumference, provided the Sun would be homogeneous. Finally, we give some cosmological applications. In particular, the most probable model of a homogeneous and isotropic universe for a xed time is a three-dimensional hypersphere, since a homogeneous distribution of mass yields a positive curvature.

Druh

O - Ostatní výsledky

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LG15052" target="_blank" >LG15052: Zkoumání mikrosvěta s využitím infrastruktury CERN</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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