The Physics and Astrophysics of Supernova Explosions

Hillebrandt, W.

doi:10.1002/9783527644384.ch4

Cited by 7 publications

(6 citation statements)

References 111 publications

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“…Hillebrandt and Steinmetz [2] presented the instability criterion for anisotropic matter configuration of gravitating objects. Herrera et al [3]- [7] contributed majorally in establishment of instability range of general relativistic fluids for different cases (isotropic, anisotropic, dissipative collapse etc), remarked that pressure anisotropy largely participates in setting dynamical instability.…”

Section: Introductionmentioning

confidence: 99%

Evolution of axially symmetric anisotropic sources in f(R, T) gravity

2015

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We discuss the dynamical analysis in f (R, T ) gravity (where R is the Ricci scalar and T is the trace of the energy momentum tensor) for gravitating sources carrying axial symmetry. The self-gravitating system is taken to be anisotropic and the line element describes an axially symmetric geometry avoiding rotation about the symmetry axis and meridional motions (zero vorticity case). The modified field equations for axial symmetry in f (R, T ) theory are formulated, together with the dynamical equations. Linearly perturbed dynamical equations lead to the evolution equation carrying the adiabatic index , which defines the impact of a non-minimal matter to geometry coupling on the range of instability for Newtonian and post-Newtonian approximations.

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Section: Introductionmentioning

confidence: 99%

Evolution of axially symmetric anisotropic sources in f(R, T) gravity

2015

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“…Type I events have a sharp increase in luminosity followed by a steady, gradual dimming, and show little to no H absorption, while Type II have a sharp increase in luminosity followed in most cases by a plateau lasting a few months and then a gradual dimming, and show stronger H lines; each type also has subtypes determined by other details in the spectrum. For a recent review see Hillebrandt (2011).…”

Section: Stellar Explosionsmentioning

confidence: 99%

Radiation as a Constraint for Life in the Universe

Abrevaya

Thomas

2018

Habitability of the Universe Before Earth

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In this chapter, we present an overview of sources of biologically relevant astrophysical radiation and effects of that radiation on organisms and their habitats. We consider both electromagnetic and particle radiation, with an emphasis on ionizing radiation and ultraviolet light, all of which can impact organisms directly as well as indirectly through modifications of their habitats. We review what is known about specific sources, such as supernovae, gamma-ray bursts, and stellar activity, including the radiation produced and likely rates of significant events. We discuss both negative and potential positive impacts on individual organisms and their environments and how radiation in a broad context affects habitability.

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“…The initial contribution on dynamical instability was of Chandrasekhar [4], he described a pattern for the representation of instability range in terms of adiabatic index for ideal matter distribution. Hillebrandt and Steinmetz [5] found the instability criterion for compact objects having pressure anisotropies in matter configuration. Many authors [6]- [16], emphasized on stellar evolution and stability range for a number of matter distributions, such as isotopic fluid, anisotropy, zero expansion, shear-free condition, radiation and dissipation.…”

Section: Introductionmentioning

confidence: 99%

Impact of extended Starobinsky model on evolution of anisotropic, vorticity-free axially symmetric sources

Noureen¹,

Bhatti²,

Zubair³

2015

J. Cosmol. Astropart. Phys.

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We study the implications of R n extension of Starobinsky model on dynamical instability of Vorticity-free axially symmetric gravitating body. The matter distribution is considered to be anisotropic for which modified field equations are formed in context of f (R) gravity. In order to achieve the collapse equation, we make use of the dynamical equations, extracted from linearly perturbed contracted Bianchi identities. The collapse equation carries adiabatic index Γ in terms of usual and dark source components, defining the range of stability/insatbility in Newtonian (N) and post-Newtonian (pN) eras. It is found that supersymmetric supergravity f (R) model represents the more practical substitute of higher order curvature corrections.

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The Physics and Astrophysics of Supernova Explosions

Cited by 7 publications

References 111 publications

Evolution of axially symmetric anisotropic sources in f(R, T) gravity

Evolution of axially symmetric anisotropic sources in f(R, T) gravity

Radiation as a Constraint for Life in the Universe

Impact of extended Starobinsky model on evolution of anisotropic, vorticity-free axially symmetric sources

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