Fermi Coordinates, Simultaneity, and Expanding Space in Robertson–Walker Cosmologies
نویسندگان
چکیده
منابع مشابه
Hyperbolic Space Cosmologies
We present a systematic study of accelerating cosmologies obtained from M/string theory compactifications of hyperbolic spaces with time-varying volume. A set of vacuum solutions where the internal space is a product of hyperbolic manifolds is found to give qualitatively the same accelerating four-dimensional FLRW universe behavior as a single hyperbolic space. We also examine the possibility t...
متن کامل“Definability,” “Conventionality,” and Simultaneity in Einstein–Minkowski Space-Time
In this article, I attempt to clarify certain misunderstandings that have contributed to continuing controversy over the status of the concept of relative simultaneity in the special theory of relativity. I also correct a number of technical errors in the literature of the subject, and present several new technical results that may further serve to clarify matters. Controversy over the status o...
متن کاملGeneral Transformation Formulas for Fermi-Walker Coordinates
We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit formulas for coefficients and the Jacobian matrix are given.
متن کاملFermi Normal Coordinates and Fermion Curvature Couplings in General Relativity
We study gravitational curvature effects in circular and radial geodesics in static, spherically symmetric space-times, using Fermi normal coordinates. We first set up these coordinates in the general case, and then use this to study effective magnetic fields due to gravitational curvature in the exterior and interior Schwarzschild, Janis-Newman-Winicour, and Bertrand space-times. We show that ...
متن کاملUltrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates
Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study the motion of ultrarelativistic particles and light rays in Fermi coordinates and investigate inertial and tidal effects beyond the critical speed c/ √ 2. In particular, we discuss the blackhole tidal acceleration mechanism for ultrarelativistic particles ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2011
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-011-0080-9