2015/06/30 by Matthew Wright · 13 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Anisotropy #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Dimension (graph theory) #Einstein #Gravitation #Gravitational redshift #Mathematical physics #Physics #Pure mathematics #Quantum mechanics #RADIUS #Redshift #Theoretical physics #Type (biology) #Zero (linguistics) #gr-qc
paper · pdf · doi:10.1088/0264-9381/32/21/215005
published in Classical and Quantum Gravity 32(21), 215005 (IOP Publishing) · 23 pages. To appear in Classical and Quantum Gravity. Matches published version. Typos fixed, section added discussing saturation of bounds
arxiv created 2015/09/24 · openalex publication_date 2015/10/07 · arxiv updated 2015/10/09 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension d≥4 are considered. Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained. Bounds are also generalised in the presence of a non-zero charge and a positive cosmological constant. These bounds are then used to find the maximum of the gravitational redshift at the surface of the object.