Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Some curvature properties of perfect fluid spacetimes

Krishnendu De, Uday Chand De, Ljubica Velimirovic

Abstract

In this paper we assume that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations.

Some curvature properties of perfect fluid spacetimes

Abstract

In this paper we assume that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations.
Paper Structure (8 sections, 11 theorems, 59 equations)

This paper contains 8 sections, 11 theorems, 59 equations.

Table of Contents

  1. Introduction
  2. Examples of perfect fluid spacetimes
  3. Proof of the Theorems
  4. Declarations
  5. Funding
  6. Conflicts of interest/Competing interests
  7. Availability of data and material
  8. Code availability

Key Result

Theorem 3.1

If a Lorentzian manifold admits an almost Ricci soliton whose potential vector field is a unit timelike torse-forming vector field, then it becomes a perfect fluid spacetime.

Theorems & Definitions (12)

  • Theorem 3.1
  • Theorem 3.2
  • Remark 3.1
  • Theorem 3.3
  • Lemma 3.1
  • Theorem 3.4
  • Theorem 3.5
  • Lemma 3.2
  • Theorem 3.6
  • Corollary 3.1
  • ...and 2 more