Interplay between the small and the large scale structure of spacetime

By M. Modgil. 2010

510 citations recorded by the source corpus.

Existence of frame invariant, maximum, time interval $T$, length $L$, and mass $M$ is postulated. In the de Sitter universe - (1) the life span of universe, (2) the circumference of universe at the point of maximum expansion, and (3) the mass of the universe - are candidates for $T$, $L$ and $M$ respectively. Impact of such invariant global parameters, on the definition of local physical quantities, such as velocity is discussed.

View Paper: https://www.semanticscholar.org/paper/ee6c1cfbe424abd4863c13bf99284dbfec9698e3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling (2014, background): “On the other hand, as argued in [54], other choices for the matter Lagrangian, like Lm = ǫ or Lm = −na, where a is the physical free energy defined as a = ǫ/n− Ts, are also possible [52, 55].”
The Dark side of gravity: Modified theories of gravity (2008, background): “Other choices include, for instance, Lm = −ρ [51, 53], where ρ is the energy density, or Lm = −na, were n is the particle number density, and a is the physical free energy defined as a = ρ/n−Ts, with T being the temperature and s the entropy per particle (see Ref.”
Nonminimal coupling of perfect fluids to curvature (2008, background): “However, we point out that, despite the fact that Lm = p does indeed reproduce the perfect fluid equation of state, it is not unique: Other choices include, for instance, Lm = −ρ [7, 8], where ρ is the energy density, or Lm = −na, where n is the particle”
Wormholes in a viable f(T) gravity (2012, unknown): “the null energy condition: Tμνk μkν ≥ 0, here kμ denotes a null vector field [26].”
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime (2014, background): “) In the case where R is taken to be an entire asymptotic boundary, this result reduces to the classic theorem that trapped surfaces are enclosed by event horizons [19, 57]”
Topics in the Foundations of General Relativity and Newtonian Gravitation Theory (2012, methodology): “(See Hawking and Ellis [30] and Wald [60] for a proper treatment of the subject.”
Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I (2011, background): “(For a nice introduction to the relevant notions, we refer the reader to [33]).”