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Szekeres spacetimes with heat flow
Affiliation:1. Department of Neurology & National Research Center for Aging and Medicine, Huashan Hospital, Shanghai Medical College, Fudan University, Shanghai, China;2. Department of Neurology, Qingdao Municipal Hospital, Qingdao University, Qingdao, China;1. Hasselt University, Biomedical Research Institute, BIOMED, 3500 Hasselt, Belgium;2. Laboratory of Neurogenetics, National Institute on Aging, National Institutes of Health, Bethesda, MD 20892, USA;3. KU Leuven, University of Leuven, Department of Neurosciences, Experimental Neurology and Leuven Brain Institute (LBI), 3000 Leuven, Belgium;4. VIB, Center for Brain & Disease Research, Laboratory of Neurobiology, 3000 Leuven, Belgium;5. Department of Psychiatry and Neurochemistry, Institute of Neuroscience and Physiology, the Sahlgrenska Academy at the University of Gothenburg, Mölndal, Sweden;6. Clinical Neurochemistry Laboratory, Sahlgrenska University Hospital, Mölndal, Sweden;7. Department of Neurodegenerative Disease, UCL Institute of Neurology, Queen Square, London, UK;8. UK Dementia Research Institute at UCL, London, UK;9. Hong Kong Center for Neurodegenerative Diseases, Clear Water Bay, Hong Kong, China;10. UW Department of Medicine, School of Medicine and Public Health, Madison, WI, USA;11. Department of Neurology, Hope Center for Neurological Disorders, Knight Alzheimer’s Disease Research Center, Washington University in St. Louis, St. Louis, MO, USA;1. Department of Anatomy, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria;2. Department of Physiology, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria;3. College of Health Sciences, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria;4. Olabisi Onabanjo University Teaching Hospital (OOUTH), Sagamu, Ogun State, Nigeria;1. Department of Food Science, Nutrition, and Health Promotion, Mississippi State University, Mississippi State, MS 39762, USA;2. Department of Biochemistry, Molecular Biology, Entomology and Plant Pathology, Mississippi State University, 32 Creelman Street, Mississippi State, MS 39762, USA;3. Coastal Research & Extension Center, 3411 Frederic Street, Pascagoula, MS 39567, USA;4. United States Department of Agriculture, Agricultural Research Service, Southern Regional Research Center, 1100 Robert E. Lee Blvd., New Orleans, LA 70124, USA
Abstract:A new class of inhomogeneous exact solutions of Einstein field equations is given. They generalize the dust-filled models found by Szekeres. In the course of time a subclass of models present a friedmannian phase.
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