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  • Andreasson, Håkan, 1966- (författare)
  • On the existence, structure and stability of static and stationary solutions of the Einstein-Vlasov system
  • 2014
  • Ingår i: AIP Conference Proceedings: Plasma Physics and Relativistic Fluids. - 0094-243X. - 978-0-7354-1208-8 ; 1578, s. 129-139
  • Konferensbidrag (refereegranskat)abstract
    • The present status on the existence, structure and stability of static and stationary solutions of the Einstein-Vlasov system is reviewed. Under the assumptions that a spherically symmetric static object has isotropic pressure and non-increasing energy density outwards, Buchdahl showed 1959 the bound M/R
  • Andreasson, Håkan, 1966-, et al. (författare)
  • On the rotation curves for axially symmetric disk solutions of the Vlasov-Poisson system
  • 2015
  • Ingår i: Monthly notices of the Royal Astronomical Society. - 0035-8711. ; 446:4, s. 3932-3942
  • Tidskriftsartikel (refereegranskat)abstract
    • A large class of flat axially symmetric solutions to the Vlasov–Poisson system is constructed with the property that the corresponding rotation curves are approximately flat, slightly decreasing or slightly increasing. The rotation curves are compared with measurements from real galaxies and satisfactory agreement is obtained. These facts raise the question whether the observed rotation curves for disc galaxies may be explained without introducing dark matter. Furthermore, it is shown that for the ansatz we consider stars on circular orbits do not exist in the neighbourhood of the boundary of the steady state.
  • Andréasson, Håkan, et al. (författare)
  • Outcome differences between debulking surgery and cytoreductive surgery in patients with pseudomyxoma peritonei
  • 2012
  • Ingår i: European Journal of Surgical Oncology. - 0748-7983 .- 1532-2157. ; 38:10, s. 962-968
  • Tidskriftsartikel (refereegranskat)abstract
    • <p><strong>BACKGROUND:</strong></p><p>The aim of this study was to compare debulking surgery and cytoreductive surgery (CRS) in patients with Pseudomyxoma peritonei (PMP) regarding efficacy and safety.</p><p><strong>PATIENTS AND METHODS:</strong></p><p>Data were extracted from medical records and treatment outcomes were analyzed for all 152 patients with PMP who were scheduled for debulking surgery and intraperitoneal chemotherapy (IPC) or CRS and IPC at Uppsala University Hospital, Uppsala, Sweden, between September 1993 and December 2008.</p><p><strong>RESULTS:</strong></p><p>One hundred and ten patients (73%) were treated with CRS and IPC and 40 (27%) with debulking surgery and IPC. In two patients (1%), surgery was defined as open and close. Patients with CRS and IPC had a 74% 5-year overall survival (OS) rate compared with 40% for those treated with debulking surgery (P &lt; 0.001). Patients with no residual macroscopic tumour (R1 resection) had a better 5-year OS rate of 94% compared with 28% for patients with macroscopic residual tumour (R2) (P &lt; 0.001). Grades II-IV adverse events were seen in 29% of debulked patients and in 47% of CRS/IPC patients (P = 0.053).</p><p><strong>CONCLUSIONS:</strong></p><p>CRS and IPC seems more efficient than debulking surgery and IPC but with numerically higher morbidity. Therefore, if surgically possible, CRS should be the treatment of choice for PMP patients. However, debulking surgery may still be of benefit to selected patients for palliative purposes.</p>
  • Andreasson, Håkan, 1966-, et al. (författare)
  • Proof of the cosmic no-hair conjecture in the T-3-Gowdy symmetric Einstein-Vlasov setting
  • 2016
  • Ingår i: Journal of the European Mathematical Society. - 1435-9855. ; 18:7, s. 1565-1650
  • Tidskriftsartikel (refereegranskat)abstract
    • The currently preferred models of the universe undergo accelerated expansion induced by dark energy. One model for dark energy is a positive cosmological constant. It is consequently of interest to study Einstein's equations with a positive cosmological constant coupled to matter satisfying the ordinary energy conditions: the dominant energy condition etc. Due to the difficulty of analysing the behaviour of solutions to Einstein's equations in general, it is common to either study situations with symmetry, or to prove stability results. In the present paper, we do both. In fact, we analyse, in detail, the future asymptotic behaviour of T-3-Gowdy symmetric solutions to the Einstein-Vlasov equations with a positive cosmological constant. In particular, we prove the cosmic no-hair conjecture in this setting. However, we also prove that the solutions are future stable (in the class of all solutions). Some of the results hold in a more general setting. In fact, we obtain conclusions concerning the causal structure of T-2-symmetric solutions, assuming only the presence of a positive cosmological constant, matter satisfying various energy conditions and future global existence. Adding the assumption of T-3-Gowdy symmetry to this list of requirements, we obtain C-0-estimates for all but one of the metric components. There is consequently reason to expect that many of the results presented in this paper can be generalised to other types of matter.
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