High-order perturbations of a spherical collapsing star
Creators
- 1. Theoretical Astrophysics, Eberhard-Karls University of Tuebingen, 72076 Tuebingen (Germany)
- 2. Institut de Ciencies de l'Espai - CSIC-IEEC, Campus UAB, E-08193 Bellaterra, Spain, Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, and Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677 (United States)
- 3. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet, Max-Wien-Platz 1, 07743 Jena, Germany and Instituto de Estructura de la Materia, CSIC, Serrano 121-123, 28006 Madrid (Spain) and Institut d'Astrophysique de Paris, Universite Pierre et Marie Curie, CNRS, 98bis Boulevard Arago, 75014 Paris, France, Laboratoire Univers et Theories, CNRS, Universite Paris Diderot, 5 Place Jules Janssen, 92190 Meudon, France and Instituto de Estructura de la Materia, CSIC, Serrano 121-123, 28006 Madrid (Spain)
Description
A formalism to deal with high-order perturbations of a general spherical background was developed in earlier work [D. Brizuela, J. M. Martin-Garcia, and G. A. Mena Marugan, Phys. Rev. D 74, 044039 (2006); D. Brizuela, J. M. Martin-Garcia, and G. A. Mena Marugan, Phys. Rev. D 76, 024004 (2007)]. In this paper, we apply it to the particular case of a perfect fluid background. We have expressed the perturbations of the energy-momentum tensor at any order in terms of the perturbed fluid's pressure, density, and velocity. In general, these expressions are not linear and have sources depending on lower-order perturbations. For the second-order case we make the explicit decomposition of these sources in tensor spherical harmonics. Then, a general procedure is given to evolve the perturbative equations of motions of the perfect fluid for any value of the harmonic label. Finally, with the problem of a spherical collapsing star in mind, we discuss the high-order perturbative matching conditions across a timelike surface, in particular, the surface separating the perfect fluid interior from the exterior vacuum.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.82.104039;
- arXiv
- arXiv:1009.5605v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 82
- Journal Issue
- 10
- Journal Page Range
- p. 104039-104039.21
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42101579
- Subject category
- S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
- Descriptors DEI
- DECOMPOSITION; DENSITY; DISTURBANCES; ENERGY-MOMENTUM TENSOR; EQUATIONS OF MOTION; GRAVITATIONAL COLLAPSE; IDEAL FLOW; PERTURBATION THEORY; SPHERICAL CONFIGURATION; SPHERICAL HARMONICS; STARS; SURFACES; VELOCITY
- Descriptors DEC
- CHEMICAL REACTIONS; CONFIGURATION; DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID FLOW; FUNCTIONS; INCOMPRESSIBLE FLOW; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; STEADY FLOW; TENSORS
Optional Information
- Notes
- (c) 2010 American Institute of Physics