FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1519415056> ?p ?o ?g. }

• W1519415056 abstract "In this thesis, we seek exact solutions for the interior of a radiating relativistic star undergoing gravitational collapse. The spherically symmetric interior spacetime, when matched with the exterior radiating Vaidya spacetime, at the boundary of the star, yields the governing equation describing the gravitational behaviour of the collapsing star. The investigation of the model hinges on the solution of the governing equation at the boundary. We first examine shear-free models which are conformally flat. The boundary condition is transformed to an Abel equation and several new solutions are generated. We then study collapse with shear in geodesic motion. Two classes of solutions are generated which are regular at the stellar centre. Our treatment extends the results of Naidu et al (2006) which had the undesirable feature of a singularity at the centre of the star. In an attempt to find more general models, we transform the fundamental equation to a Riccati equation. Two general classes of solution are found and are used to study the thermal evolution in the causal theory of thermodynamics. These solutions are shown to reduce to the Friedmann dust solution in the absence of heat flow. Furthermore, we obtain new categories of solutions for the case of gravitational collapse with expansion, shear and acceleration of the stellar fluid. This is achieved by transforming the boundary condition into a Riccati equation. In special cases the Bernoulli equation is regained. The solutions are given in terms of elementary functions and they permit the investigation of the physical features of radiative stellar collapse." @default.
• W1519415056 created "2016-06-24" @default.
• W1519415056 creator A5060808179 @default.
• W1519415056 date "2007-01-01" @default.
• W1519415056 modified "2023-09-27" @default.
• W1519415056 title "Exact models for radiating relativistic stars." @default.
• W1519415056 cites W1537158591 @default.
• W1519415056 cites W1559884717 @default.
• W1519415056 cites W1585119455 @default.
• W1519415056 cites W1588488620 @default.
• W1519415056 cites W1610300212 @default.
• W1519415056 cites W1632321716 @default.
• W1519415056 cites W1964856244 @default.
• W1519415056 cites W1968424460 @default.
• W1519415056 cites W1972582871 @default.
• W1519415056 cites W1973052291 @default.
• W1519415056 cites W1976327708 @default.
• W1519415056 cites W1986422309 @default.
• W1519415056 cites W1993133048 @default.
• W1519415056 cites W1996920347 @default.
• W1519415056 cites W1997737801 @default.
• W1519415056 cites W2000552446 @default.
• W1519415056 cites W2008240595 @default.
• W1519415056 cites W2012168647 @default.
• W1519415056 cites W2015998721 @default.
• W1519415056 cites W2016871978 @default.
• W1519415056 cites W2018280393 @default.
• W1519415056 cites W2023770481 @default.
• W1519415056 cites W2025880374 @default.
• W1519415056 cites W2036662279 @default.
• W1519415056 cites W2046744141 @default.
• W1519415056 cites W2052120900 @default.
• W1519415056 cites W2052548613 @default.
• W1519415056 cites W2053010680 @default.
• W1519415056 cites W2061821322 @default.
• W1519415056 cites W2071725611 @default.
• W1519415056 cites W2074168553 @default.
• W1519415056 cites W2090849553 @default.
• W1519415056 cites W2094740723 @default.
• W1519415056 cites W2103355709 @default.
• W1519415056 cites W2107097129 @default.
• W1519415056 cites W2123891484 @default.
• W1519415056 cites W2143323305 @default.
• W1519415056 cites W2156862163 @default.
• W1519415056 cites W2160223667 @default.
• W1519415056 cites W2161483831 @default.
• W1519415056 cites W2169266444 @default.
• W1519415056 cites W2225468140 @default.
• W1519415056 cites W2282901172 @default.
• W1519415056 cites W3123857018 @default.
• W1519415056 cites W93461577 @default.
• W1519415056 hasPublicationYear "2007" @default.
• W1519415056 type Work @default.
• W1519415056 sameAs 1519415056 @default.
• W1519415056 citedByCount "0" @default.
• W1519415056 crossrefType "dissertation" @default.
• W1519415056 hasAuthorship W1519415056A5060808179 @default.
• W1519415056 hasConcept C118396296 @default.
• W1519415056 hasConcept C121332964 @default.
• W1519415056 hasConcept C124017977 @default.
• W1519415056 hasConcept C130187892 @default.
• W1519415056 hasConcept C134306372 @default.
• W1519415056 hasConcept C147452769 @default.
• W1519415056 hasConcept C152361515 @default.
• W1519415056 hasConcept C165818556 @default.
• W1519415056 hasConcept C182310444 @default.
• W1519415056 hasConcept C33923547 @default.
• W1519415056 hasConcept C45473103 @default.
• W1519415056 hasConcept C62520636 @default.
• W1519415056 hasConcept C74650414 @default.
• W1519415056 hasConcept C93779851 @default.
• W1519415056 hasConcept C97355855 @default.
• W1519415056 hasConceptScore W1519415056C118396296 @default.
• W1519415056 hasConceptScore W1519415056C121332964 @default.
• W1519415056 hasConceptScore W1519415056C124017977 @default.
• W1519415056 hasConceptScore W1519415056C130187892 @default.
• W1519415056 hasConceptScore W1519415056C134306372 @default.
• W1519415056 hasConceptScore W1519415056C147452769 @default.
• W1519415056 hasConceptScore W1519415056C152361515 @default.
• W1519415056 hasConceptScore W1519415056C165818556 @default.
• W1519415056 hasConceptScore W1519415056C182310444 @default.
• W1519415056 hasConceptScore W1519415056C33923547 @default.
• W1519415056 hasConceptScore W1519415056C45473103 @default.
• W1519415056 hasConceptScore W1519415056C62520636 @default.
• W1519415056 hasConceptScore W1519415056C74650414 @default.
• W1519415056 hasConceptScore W1519415056C93779851 @default.
• W1519415056 hasConceptScore W1519415056C97355855 @default.
• W1519415056 hasLocation W15194150561 @default.
• W1519415056 hasOpenAccess W1519415056 @default.
• W1519415056 hasPrimaryLocation W15194150561 @default.
• W1519415056 hasRelatedWork W1662049301 @default.
• W1519415056 hasRelatedWork W183402902 @default.
• W1519415056 hasRelatedWork W1976327708 @default.
• W1519415056 hasRelatedWork W2002982539 @default.
• W1519415056 hasRelatedWork W2036699946 @default.
• W1519415056 hasRelatedWork W2083974710 @default.
• W1519415056 hasRelatedWork W2490835787 @default.
• W1519415056 hasRelatedWork W2739630794 @default.
• W1519415056 hasRelatedWork W2950324842 @default.
• W1519415056 hasRelatedWork W2963637304 @default.

• next