Gravitation and Cosmology in Generalized (1+1)-dimensional dilaton gravity

Abstract

The actions of the ``$R=T$'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss differing interpretations of the matter stress-energy tensor, and show how two such different interpretations can yield two different sets of field equations from this action. The weak-field approximation, post-Newtonian expansion, hydrostatic equilibrium state of star and two-dimensional cosmology are studied separately by using the two sets of field equations. Some properties in the ``$R=T$'' and string-inspired theories are shown to be generic in the theory induced by the generalized action.

34 pages

References in corpus (3)

• Conservation Laws and 2D Black Holes in Dilaton Gravity
• Cosmological Models in Two Spacetime Dimensions
• Gravitation \& Cosmology in $(1+1)$-dimensional Dilaton Gravity

Cited by in corpus (19)

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• Two-dimensional gravitation and Sine-Gordon-Solitons
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• Exact Solutions to the Motion of Two Charged Particles in Lineal Gravity
• Exact Solutions of Relativistic Two-Body Motion in Lineal Gravity
• Chaos in an Exact Relativistic 3-body Self-Gravitating System
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• Primordial black holes in a dimensionally reduced universe
• Supergravity from a Massive Superparticle and the Simplest Super Black Hole
• Perturbative Quantum Gravity Coupled to Particles in (1+1)-Dimensions
• Statistical Mechanics of Relativistic One-Dimensional Self-Gravitating Systems
• Particles on a Circle in Canonical Lineal Gravity
• Chaos in a 3-body Self-Gravitating Cosmological Spacetime
• Noncommutative black holes in extended anti-de Sitter phase space