%PDF-1.4 % 5 0 obj << /S /GoTo /D (section.1) >> endobj 8 0 obj (1 Introduction) endobj 9 0 obj << /S /GoTo /D (section.2) >> endobj 12 0 obj (2 Observer fields) endobj 13 0 obj << /S /GoTo /D (section*.1) >> endobj 16 0 obj (Redshift in a natural observer field) endobj 17 0 obj << /S /GoTo /D (section*.2) >> endobj 20 0 obj (Luminosity) endobj 21 0 obj << /S /GoTo /D (section*.3) >> endobj 24 0 obj (Uniform expansion and the Schwarzschild-de-Sitter case) endobj 25 0 obj << /S /GoTo /D (section.3) >> endobj 28 0 obj (3 de Sitter space) endobj 29 0 obj << /S /GoTo /D (section*.4) >> endobj 32 0 obj (Definitions) endobj 33 0 obj << /S /GoTo /D (section*.5) >> endobj 36 0 obj (The expansive metric) endobj 37 0 obj << /S /GoTo /D (section*.6) >> endobj 40 0 obj (Time-like geodesics in Exp) endobj 41 0 obj << /S /GoTo /D (section*.7) >> endobj 44 0 obj (The de Sitter metric) endobj 45 0 obj << /S /GoTo /D (section*.8) >> endobj 48 0 obj (The contractive metric) endobj 49 0 obj << /S /GoTo /D (section.4) >> endobj 52 0 obj (4 The Anosov property) endobj 53 0 obj << /S /GoTo /D (section.5) >> endobj 56 0 obj (5 The Schwarzschild de Sitter metric) endobj 57 0 obj << /S /GoTo /D (section*.9) >> endobj 60 0 obj (Extending the expansive field to infinity) endobj 61 0 obj << /S /GoTo /D (section.6) >> endobj 64 0 obj (6 The model) endobj 65 0 obj << /S /GoTo /D (section*.10) >> endobj 68 0 obj (The first plausibility argument: Anosov property) endobj 69 0 obj << /S /GoTo /D (section*.11) >> endobj 72 0 obj (The second plausibility argument: the charged case) endobj 73 0 obj << /S /GoTo /D (section.7) >> endobj 76 0 obj (7 Final remarks) endobj 77 0 obj << /S /GoTo /D (section*.12) >> endobj 80 0 obj (7.1 Evidence from the Hubble ultra deep field) endobj 81 0 obj << /S /GoTo /D (section*.13) >> endobj 84 0 obj (7.2 Bounded space slices) endobj 85 0 obj << /S /GoTo /D (section*.14) >> endobj 88 0 obj (7.3 Cosmological constant) endobj 89 0 obj << /S /GoTo /D (section*.15) >> endobj 92 0 obj (7.4 Estimates) endobj 93 0 obj << /S /GoTo /D (section*.16) >> endobj 96 0 obj (7.5 Health warning) endobj 97 0 obj << /S /GoTo /D (section*.17) >> endobj 100 0 obj (Bibliography) endobj 101 0 obj << /S /GoTo /D [102 0 R /FitBH ] >> endobj 107 0 obj << /Length 2164 /Filter /FlateDecode >> stream xڅX[۸ ~ϯ[-/"%OI&MݝɞN'Ym6=9Jݼ$ Ba#6?<}|Ï,ՙUF*31N7SK5]>(#~7a+E'4P? \ی&X$~?mx'7R(%gM yP:-J:Wu`KKʁ׷?nHo "-!Ri0m&wJ|CR]Iaܒ`m`nشn Tr~4E3SVYd* H]OB&%>z:Fw4\Q=rjY3'82 GycUs&j3pT[1m4a&?}w <۵/[cl['ZDgwUwHWtp? 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