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We study the final state of the gravitational collapse of uniformly rotating supramassive neutron stars by axisymmetric simulations in full general relativity. The rotating stars provided as the initial condition are marginally stable…

Astrophysics · Physics 2008-11-26 Masaru Shibata

We study the spherically symmetric collapsing star in terms of dynamical instability. We take the framework of extended teleparallel gravity with non-diagonal tetrad, power-law form of model presenting torsion and matter distribution as…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Abdul Jawad , Shamaila Rani

We perform a detailed analysis of radial oscillations to discuss dynamical stability in two-fluid neutron stars composed of ordinary nuclear matter and a gravitationally coupled dark matter component. Using a fully relativistic two-fluid…

High Energy Astrophysical Phenomena · Physics 2025-09-05 Ankit Kumar , Hajime Sotani

We consider the energy super critical nonlinear Schr\"odinger equation $$i\pa_tu+\Delta u+u|u|^{p-1}=0$$ in large dimensions $d\geq 11$ with spherically symmetric data. For all $p>p(d)$ large enough, in particular in the super critical…

Analysis of PDEs · Mathematics 2014-07-08 Frank Merle , Pierre Raphael , Igor Rodnianski

Both relativistic and non-relativistic two-fluid models of neutron star cores are constructed, using the constrained variational formalism developed by Brandon Carter and co-workers. We consider a mixture of superfluid neutrons and…

Astrophysics · Physics 2008-08-05 N. Chamel

A new class of self-gravitating collapsing star models with perfect fluid distributions is discussed in this work. The paper has a comprehensive analysis of a homogeneous gravitational collapsing system wherein using a parametrization…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Annu Jaiswal , Rajesh Kumar , Sudhir Kumar Srivastava , S. K. J. Pacif

Jin et al reported that axisymmetric simulations of NS-like objects with polytropic EOS undergo critical gravitational collapse. As the critical collapse observed via fine-tuning of the adiabatic index $\Gamma$, they conjecture that…

General Relativity and Quantum Cosmology · Physics 2008-07-11 M. -B. Wan , K. -J. Jin , W. -M. Suen

The paper deals with collapse dynamics of a spherically symmetric massive star in the framework of non-equilibrium themodynamic prescription through particle creation mechanism. The matter content in the star is in the form of perfect uid…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Sudipto Bhattacharjee , Subhajit Saha , Subenoy Chakraborty

Motivated by recent observations that show starless molecular cloud cores exhibit subsonic inward velocities, we revisit the collapse problem for polytropic gaseous spheres. In particular, we provide a generalized treatment of protostellar…

Astrophysics · Physics 2009-11-10 M. Fatuzzo , F. C. Adams , P. C. Myers

We study the stability of three analytical solutions of the Einstein's field equations for spheres of fluid. These solutions are suitable to describe compact objects including white dwarfs, neutron stars and supermassive stars and they have…

General Relativity and Quantum Cosmology · Physics 2017-05-04 Ch. C. Moustakidis

Equilibrium models of differentially rotating nascent neutron stars are constructed, which represent the result of the accretion induced collapse of rapidly rotating white dwarfs. The models are built in a two-step procedure: (1) a rapidly…

Astrophysics · Physics 2008-11-26 Yuk Tung Liu , Lee Lindblom

We here propose a two-step model for gamma-ray bursts (GRBs) associated with supernovae. In the first step, the core collapse of a star with mass $\ge 19M_\odot$ leads to a massive neutron star and a normal supernova, and subsequently…

Astrophysics · Physics 2007-05-23 K. S. Cheng , Z. G. Dai

Motivated by a recent paper by the Potsdam numerical relativity group, we have constructed a new numerical code for hydrodynamic simulation of axisymmetric systems in full general relativity. In this code, we solve the Einstein field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Masaru Shibata

In this paper we study an Oppenheimer-Snyder (OS)-like gravitational collapse in the general framework of scale-dependent gravity. We explore the collapse in spherically symmetric solutions suggested both by asymptotically safe gravity…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Ramin Hassannejad , Gaetano Lambiase , Fabio Scardigli , Fatimah Shojai

A self-similar formalism for the study of the gravitational collapse of molecular gas provides an important theoretical framework from which to explore the dynamics of star formation. Motivated by the presence of elongated and filamentary…

Solar and Stellar Astrophysics · Physics 2015-05-13 Lisa Holden , Kevin Hoppins , Benjamin Baxter , Marco Fatuzzo

We present the results of numerical simulations of the spherically symmetric gravitational collapse of supermassive stars (SMS). The collapse is studied using a general relativistic hydrodynamics code. The coupled system of Einstein and…

Astrophysics · Physics 2009-11-06 Felix Linke , Jose A. Font , Hans-Thomas Janka , E. Mueller , Philippos Papadopoulos

We study gravitational collapse for the Starobinsky $R^2$ model, a particular example of an $f(r)$ theory, in a spherically symmetric spacetime. We add a massless scalar field as matter content to the spacetime. We work in the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Yolbeiker Rodríguez Baez

Using a two-dimensional hydrodynamics code (PROMETHEUS), we study the continued evolution of rotating massive helium stars whose iron core collapse does not produce a successful outgoing shock, but instead forms a black hole. We study the…

Astrophysics · Physics 2009-10-31 A. MacFadyen , S. E. Woosley

We study the spherical collapse of a perfect fluid with an equation of state $P=k\rho$ by full general relativistic numerical simulations. For $0<k\alt 0.036$, it has been known that there exists a general relativistic counterpart of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Tomohiro Harada , Hideki Maeda

Simulations in general relativity show that the outcome of collapse of a marginally unstable, uniformly rotating star spinning at the mass-shedding limit depends critically on the equation of state. For a very stiff equation of state, which…

Astrophysics · Physics 2009-11-10 Stuart L. Shapiro