English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Numerical simulation of hydrodynamic equations forms the central part ofsolving various modern astrophysical problems. In the case of shocks, one canhave either dynamical equations or jump conditions (the conservation equationswithout any time evolution). The solution of the jump condition in curvespace-time is derived and analyzed in detail in the present work. We alsoderive the Taub adiabat or combustion adiabat equation from the jump condition.We have analyzed both time-like and space-like shocks in the present work. Wefind that the change in entropy for the weak shocks for curved space-time issmall similar to that for flat space-time. We also find that for generalrelativistic space-like shocks, the Chapman-Jouguet point does not necessarilycorrespond to the sonic point for downstream matter, unlike the relativisticcase. To analyze the shock wave solution for the curved space-time, one needsthe information of metric potentials describing the space-time, which for thepresent work is taken to be a neutron star. We assume that a shock wave isgenerated at the centre of the star and is propagating outward. As the shockwave is propagating outwards, it combusts nuclear matter to quark matter, andwe have a combustion scenario. We find that the general relativistic treatmentof shock conditions is necessary to study shocks in neutron stars so that theresults are consistent with the solution of the TOV equation while calculatingthe maximum mass for a given equation of state. We also find that with suchgeneral relativistic treatment, the combustion process in neutron stars isalways a detonation.

The importance of general relativistic shock calculation in the light of neutron star physics