{"product_id":"cosmological-and-black-hole-apparent-valerio-faraoni-9783319192390","title":"Cosmological and Black Hole Apparent Horizons","description":"\u003cp\u003eStationary black holes in General Relativity.- Introduction.- Stationary black holes of General Relativity.- Schwarzschild spacetime.- Reissner-Nordström metric.- Kerr spacetime.- Kerr-Newman metric.- Energy conditions.- Conclusions.- Problems.- Horizons.- Introduction.- Null geodesic congruences and trapped surfaces.- Rindler horizons for accelerated observers in Minkowski spacetime.- Event horizons.- Killing horizons.- Apparent horizons.- Trapping horizons.- Isolated and dynamical horizons.- Kodama vector and surface gravity.- Surface gravities.- Spherical symmetry.- Rindler horizons revisited.- Conclusions.- Problems.- Cosmological horizons.- Introduction.- 3.2 Hyperspherical coordinates for FLRW space.- Kruskal-Szekeres coordinates for de Sitter space.- Painlev e-Gullstrand and Schwarzschild-like coordinates for \u003ci\u003ek \u003c\/i\u003e= 0 FLRW space.- Schwarzschild-like coordinates for general FLRW spaces.- Painlevé-Gullstrand coordinates for general FLRW spaces.- Congruences of radial null geodesics in FLRW space.- Horizons in FLRW space.- Dynamics of cosmological horizons.- Another notation.- de Sitter space.- Thermodynamics of cosmological horizons in General Relativity.- Thermodynamics of de Sitter space.- Thermodynamics of apparent\/trapping horizons in FLRW space.- Conclusions.- Problems.- Inhomogeneities in cosmological \"backgrounds\" in Einstein theory.- Introduction.- Schwarzschild-de Sitter-Kottler spacetime.- McVittie solution.- Charged McVittie spacetime.- An application to the quantization of black hole areas.- Generalized McVittie spacetimes.- Sultana-Dyer spacetime.- Husain-Martinez-Nuñez spacetime.- Fonarev solutions.- Other analytic cosmological black hole solutions of the Einstein Equations.- Conclusions.- Cosmological inhomogeneities in alternative gravity.- Introduction.- Brans-Dicke cosmological black holes.- \u003ci\u003ef \u003c\/i\u003e(R) cosmological black holes.- Conclusions.- A Appendix.- A.1 Painlevé-Gullstrand coordinates for general spherically symmetric metrics.- A.2 Kodama vector in FLRW space.- A2.1 Pseudo-Painlev e-Gullstrand coordinates.- A.2.2 Comoving coordinates.- References.- Index. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Valerio Faraoni\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319192396\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319192390\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/14\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 199\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.68lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.46d","brand":"Valerio Faraoni","offers":[{"title":"Paperback","offer_id":43940766023935,"sku":"9783319192390","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_6bc8c9d9-a943-4245-84f8-e59eea34c775.jpg?v=1681449062","url":"https:\/\/www.whiterainbookhouse.com\/products\/cosmological-and-black-hole-apparent-valerio-faraoni-9783319192390","provider":"WR Book House","version":"1.0","type":"link"}