Equatorial Circular Orbits of Neutral Test Particles in Weyl Spacetimes



Document title: Equatorial Circular Orbits of Neutral Test Particles in Weyl Spacetimes
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000379529
ISSN: 0103-9733
Authors: 1
2
Institutions: 1Universidad Santo Tomás, Departamento de Ciencias Básicas, Bucaramanga, Santander. Colombia
2Universidad Industrial de Santander, Escuela de Física, Bucaramanga, Santander. Colombia
Year:
Season: Ago
Volumen: 44
Number: 4
Pages: 385-397
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract A general stability study of equatorial circular orbits in static axially symmetric gravitating systems is presented. We investigate the motion of neutral test particles in circular geodesics such as the marginally stable orbit, the marginally bounded orbit, and the photon orbit are analyzed. We find general expressions for the radius, specific energy, specific angular momentum, and the radius of the marginally stable orbit, both for null and timelike circular geodesics. Different solutions are expressed in different coordinates systems: cylindrical coordinates, oblate spheroidal coordinates, and prolate spheroidal coordinates are considered. We show that all null circular trajectories are unstable, and that there aren’t marginally stable null geodesics, whereas for timelike geodesics the motion can be unbounded, bounded, or circular
Disciplines: Física y astronomía
Keyword: Física de partículas y campos cuánticos,
Gravedad newtoniana,
Soluciones exactas,
Espacio-tiempo de Weyl,
Ecuaciones de movimiento
Keyword: Physics and astronomy,
Particle physics and quantum fields,
Newtonian gravity,
Exact solutions,
Weyl spacetime,
Motion equations
Full text: Texto completo (Ver PDF)