High-order perturbations of a spherical collapsing star

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.104039· OSTI ID:21509937

Brizuela, David; Martin-Garcia, Jose M; Sperhake, Ulrich; Kokkotas, Kostas D ^[1]

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1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet, Max-Wien-Platz 1, 07743 Jena (Germany)

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.

• OSTI ID: 21509937
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.104039; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
DECOMPOSITION
DENSITY
DISTURBANCES
ENERGY-MOMENTUM TENSOR
EQUATIONS OF MOTION
GRAVITATIONAL COLLAPSE
IDEAL FLOW
PERTURBATION THEORY
SPHERICAL CONFIGURATION
SPHERICAL HARMONICS
STARS
SURFACES
VELOCITY
CHEMICAL REACTIONS
CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FUNCTIONS
INCOMPRESSIBLE FLOW
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
STEADY FLOW
TENSORS