Published February 2017 | Version v1
Journal article Metadata-only

The golden ratio in Schwarzschild-Kottler black holes

Creators

  • 1. Universidad de Santiago de Chile, Departamento de Fisica, Facultad de Ciencia, Santiago 2 (Chile)
  • 2. Universidad Diego Portales, Facultad de Ingenieria, Santiago (Chile)
  • 3. Universidad de Valparaiso, Instituto de Fisica y Astronomia, Valparaiso (Chile)

Description

In this paper we show that the golden ratio is present in the Schwarzschild-Kottler metric. For null geodesics with maximal radial acceleration, the turning points of the orbits are in the golden ratio Φ = (√(5)-1)/2. This is a general result which is independent of the value and sign of the cosmological constant Λ. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-017-4670-7

Additional details

Identifiers

DOI
10.1140/epjc/s10052-017-4670-7;

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
77
Journal Issue
2
Journal Page Range
p. 1-6
ISSN
1434-6052

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
48037865
Subject category
S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
Descriptors DEI
ACCELERATION; ANALYTICAL SOLUTION; ANTI DE SITTER SPACE; BLACK HOLES; CENTRAL POTENTIAL; DE SITTER SPACE; EQUATIONS OF MOTION; GEODESICS; LAGRANGE EQUATIONS; LAGRANGIAN FUNCTION; METRICS; ORBITS; PHOTONS; SCHWARZSCHILD METRIC; TRAJECTORIES
Descriptors DEC
BOSONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FUNCTIONS; MASSLESS PARTICLES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; METRICS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; SPACE