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Titlebook: Black Hole Information and Thermodynamics; Dieter Lüst,Ward Vleeshouwers Book 2019 The Author(s), under exclusive license to Springer Natu

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Mikroskopische Anatomie der Zähnebe able to distinguish between gravitational and inertial acceleration by means of local experiments i.e. if the box is small enough no observer will be able to distinguish between these two types of acceleration.
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978-3-030-10918-9The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
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Die Sinnesempfindungen in der MundhöhleWe consider (d+1)-dimensional . ., which are topological manifold that look locally like .. . can be covered by open sets ., ., where . is some indexing set. The . are then defined as bijective maps . with the requirement that, for ., the . . is .. The collection of all . is then called an ..
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Makroskopische Anatomie der ZähneThe Christoffel connection is associated to a covariant derivative acting on tensors. In familiar gauge theories, the partial derivative is replaced by a covariant derivative as .. In general relativity, the covariant derivative acts as ., where . indicates that multiplication is tensorially non-trivial, see (.).
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https://doi.org/10.1007/978-3-0348-7071-9Typical space-time metrics, e.g. . or Schwarzschild space, are infinite in coordinate extension. This means that there are boundaries of our space-time at infinite coordinate distance in this coordinate system. To make such space-times more manageable we perform so-called ., which is a transformation of our original coordinate system such that:
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