Combustion chamber, in particular gas turbine combustion chamber, with a heat shield comprising - a support structure and - a number of heat shield elements (100, 200, 300, 400) secured to the support structure comprising a ceramic material and having a cold side (102, 202, 302, 402) facing the support structure and an opposite hot side (104, 204, 304, 404) and peripheral sides (106, 108, 206, 208, 306, 308, 406, 408) connecting the cold side (102, 202, 302, 402) to the hot side (104, 204, 304, 404), wherein at least one of the peripheral sides (106, 206, 306, 406) has an engaging groove (110, 210, 310, 410), which (110, 210, 310, 410) is bounded in the direction of the cold side (102, 202, 302, 402) by a cold-side material bar (122, 222, 322, 422) and in the direction of the hot side by a hot-side material bar (124, 224, 324, 424) and in the direction of the interior of the heat shield element (100, 200, 300, 400) by a groove base (126, 226, 326, 426), and also - a number of retaining elements (150, 150', 250, 350, 450) having a transition section (156, 156', 256, 356, 456) and a fixing section, which adjoins said transition section (156, 156', 256, 356, 456), is wider compared to said transition section (156, 156', 256, 356, 456) and is fixed in a groove base of the support structure, and a retaining section (152, 152', 252, 352, 452), which adjoins the transition section (156, 156', 256, 356, 456) and engages in the engaging groove (110, 210, 310, 410), wherein the heat shield elements (100, 200, 300, 400) are disposed by means of the retaining elements (150, 150', 250, 350, 450) on the support structure to provide cover, leaving gaps (101, 103) in between, characterised in that at least one material recess (120, 220, 320, 420) is present in a section of the cold-side material bar (122, 222, 322, 422), and the retaining elements (150, 150', 250, 350, 450) have projections (162, 164, 262, 362, 462), which are engaged with the material recesses (120, 220, 320, 420) of the heat shield elements (100, 200, 300, 400). - a support structure and - a number of heat shield elements (100, 200, 300, 400) secured to the support structure comprising a ceramic material and having a cold side (102, 202, 302, 402) facing the support structure and an opposite hot side (104, 204, 304, 404) and peripheral sides (106, 108, 206, 208, 306, 308, 406, 408) connecting the cold side (102, 202, 302, 402) to the hot side (104, 204, 304, 404), wherein at least one of the peripheral sides (106, 206, 306, 406) has an engaging groove (110, 210, 310, 410), which (110, 210, 310, 410) is bounded in the direction of the cold side (102, 202, 302, 402) by a cold-side material bar (122, 222, 322, 422) and in the direction of the hot side by a hot-side material bar (124, 224, 324, 424) and in the direction of the interior of the heat shield element (100, 200, 300, 400) by a groove base (126, 226, 326, 426), and also - a number of retaining elements (150, 150', 250, 350, 450) having a transition section (156, 156', 256, 356, 456) and a fixing section, which adjoins said transition section (156, 156', 256, 356, 456), is wider compared to said transition section (156, 156', 256, 356, 456) and is fixed in a groove base of the support structure, and a retaining section (152, 152', 252, 352, 452), which adjoins the transition section (156, 156', 256, 356, 456) and engages in the engaging groove (110, 210, 310, 410),