Generalized geodesic radiating models

. The Einstein field equations and junction conditions are studied for a radiating object in which particles are travelling in geodesic motion. We consider the general case including the effects of gravity, the cosmological constant and the electromagnetic field. The boundary condition is shown to b...

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Bibliographic Details
Published in:European physical journal plus 2019-11, Vol.134 (11), p.545, Article 545
Main Authors: Mahomed, A. B., Maharaj, S. D., Narain, R.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Complex Systems
Condensed Matter Physics
Cosmological constant
Einstein equations
Electromagnetic fields
Electromagnetism
Elliptic functions
Exact solutions
Gravitational effects
Gravity effects
Heat
Hypergeometric functions
Mathematical and Computational Physics
Molecular
Nonlinear equations
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Riccati equation
Theoretical
Theory of relativity
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Summary:. The Einstein field equations and junction conditions are studied for a radiating object in which particles are travelling in geodesic motion. We consider the general case including the effects of gravity, the cosmological constant and the electromagnetic field. The boundary condition is shown to be a Riccati equation in general. A transformation reduces the boundary condition to a simpler equation. Several families of new exact solutions are found, both explicitly and implicitly. The exact solutions can be written in terms of elementary functions, elliptic integrals and Gaussian hypergeometric functions. We find that the cosmological constant and charge affects the gravitational behaviour of the model. We identify earlier models as special cases in this analysis.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2019-12905-6